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Finding the Third Proportional to 3,554,017,096,499.70 and 7,642,901,544,867.60

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Solution

The third proportional to 3,554,017,096,499.70 and 7,642,901,544,867.60 is: 16,436,033,490,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554,017,096,499.70 : 7,642,901,544,867.60 = 7,642,901,544,867.60 : x
  2. Step 2: Convert to fraction form
    3,554,017,096,499.70/7,642,901,544,867.60 = 7,642,901,544,867.60/x
  3. Step 3: Cross multiply
    3,554,017,096,499.70x = 7,642,901,544,867.60 × 7,642,901,544,867.60
  4. Step 4: Simplify right side
    3,554,017,096,499.70x = 58,413,944,024,539,536,652,500,992
  5. Step 5: Solve for x
    x = 58,413,944,024,539,536,652,500,992/3,554,017,096,499.70
  6. Step 6: Final answer
    x = 16,436,033,490,685.96

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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.