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Finding the Third Proportional to 3,554,017,096,507.80 and 7,642,901,544,882.80

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Solution

The third proportional to 3,554,017,096,507.80 and 7,642,901,544,882.80 is: 16,436,033,490,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554,017,096,507.80 : 7,642,901,544,882.80 = 7,642,901,544,882.80 : x
  2. Step 2: Convert to fraction form
    3,554,017,096,507.80/7,642,901,544,882.80 = 7,642,901,544,882.80/x
  3. Step 3: Cross multiply
    3,554,017,096,507.80x = 7,642,901,544,882.80 × 7,642,901,544,882.80
  4. Step 4: Simplify right side
    3,554,017,096,507.80x = 58,413,944,024,771,885,793,280,000
  5. Step 5: Solve for x
    x = 58,413,944,024,771,885,793,280,000/3,554,017,096,507.80
  6. Step 6: Final answer
    x = 16,436,033,490,713.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.