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Finding the Third Proportional to 6,509,426 and 13,915,624

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Solution

The third proportional to 6,509,426 and 13,915,624 is: 29,748,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,426 : 13,915,624 = 13,915,624 : x
  2. Step 2: Convert to fraction form
    6,509,426/13,915,624 = 13,915,624/x
  3. Step 3: Cross multiply
    6,509,426x = 13,915,624 × 13,915,624
  4. Step 4: Simplify right side
    6,509,426x = 193,644,591,309,376
  5. Step 5: Solve for x
    x = 193,644,591,309,376/6,509,426
  6. Step 6: Final answer
    x = 29,748,335.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.