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Finding the Third Proportional to 7,720,245 and 16,711,461

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Solution

The third proportional to 7,720,245 and 16,711,461 is: 36,174,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720,245 : 16,711,461 = 16,711,461 : x
  2. Step 2: Convert to fraction form
    7,720,245/16,711,461 = 16,711,461/x
  3. Step 3: Cross multiply
    7,720,245x = 16,711,461 × 16,711,461
  4. Step 4: Simplify right side
    7,720,245x = 279,272,928,754,521
  5. Step 5: Solve for x
    x = 279,272,928,754,521/7,720,245
  6. Step 6: Final answer
    x = 36,174,101.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.