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Finding the Third Proportional to 3,974,470.03 and 8,609,211.14

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Solution

The third proportional to 3,974,470.03 and 8,609,211.14 is: 18,648,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974,470.03 : 8,609,211.14 = 8,609,211.14 : x
  2. Step 2: Convert to fraction form
    3,974,470.03/8,609,211.14 = 8,609,211.14/x
  3. Step 3: Cross multiply
    3,974,470.03x = 8,609,211.14 × 8,609,211.14
  4. Step 4: Simplify right side
    3,974,470.03x = 74,118,516,463,861.61
  5. Step 5: Solve for x
    x = 74,118,516,463,861.61/3,974,470.03
  6. Step 6: Final answer
    x = 18,648,654.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.