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Finding the Third Proportional to 7,657,098.75 and 11,862,109.13

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Solution

The third proportional to 7,657,098.75 and 11,862,109.13 is: 18,376,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657,098.75 : 11,862,109.13 = 11,862,109.13 : x
  2. Step 2: Convert to fraction form
    7,657,098.75/11,862,109.13 = 11,862,109.13/x
  3. Step 3: Cross multiply
    7,657,098.75x = 11,862,109.13 × 11,862,109.13
  4. Step 4: Simplify right side
    7,657,098.75x = 140,709,632,893,408.27
  5. Step 5: Solve for x
    x = 140,709,632,893,408.27/7,657,098.75
  6. Step 6: Final answer
    x = 18,376,363.88

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Why These Related Problems?

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