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Finding the Third Proportional to 6,429,840 and 9,947,107

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Solution

The third proportional to 6,429,840 and 9,947,107 is: 15,388,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429,840 : 9,947,107 = 9,947,107 : x
  2. Step 2: Convert to fraction form
    6,429,840/9,947,107 = 9,947,107/x
  3. Step 3: Cross multiply
    6,429,840x = 9,947,107 × 9,947,107
  4. Step 4: Simplify right side
    6,429,840x = 98,944,937,669,449
  5. Step 5: Solve for x
    x = 98,944,937,669,449/6,429,840
  6. Step 6: Final answer
    x = 15,388,398.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.