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Finding the Third Proportional to 2,129,102.17 and 4,670,404.71

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Solution

The third proportional to 2,129,102.17 and 4,670,404.71 is: 10,245,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,102.17 : 4,670,404.71 = 4,670,404.71 : x
  2. Step 2: Convert to fraction form
    2,129,102.17/4,670,404.71 = 4,670,404.71/x
  3. Step 3: Cross multiply
    2,129,102.17x = 4,670,404.71 × 4,670,404.71
  4. Step 4: Simplify right side
    2,129,102.17x = 21,812,680,136,581.43
  5. Step 5: Solve for x
    x = 21,812,680,136,581.43/2,129,102.17
  6. Step 6: Final answer
    x = 10,245,013.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.