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Finding the Third Proportional to 5,044,231.50 and 7,078,057.50

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Solution

The third proportional to 5,044,231.50 and 7,078,057.50 is: 9,931,918.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044,231.50 : 7,078,057.50 = 7,078,057.50 : x
  2. Step 2: Convert to fraction form
    5,044,231.50/7,078,057.50 = 7,078,057.50/x
  3. Step 3: Cross multiply
    5,044,231.50x = 7,078,057.50 × 7,078,057.50
  4. Step 4: Simplify right side
    5,044,231.50x = 50,098,897,973,306.25
  5. Step 5: Solve for x
    x = 50,098,897,973,306.25/5,044,231.50
  6. Step 6: Final answer
    x = 9,931,918.86

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.