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Finding the Third Proportional to 37,502,469 and 56,353,567

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Solution

The third proportional to 37,502,469 and 56,353,567 is: 84,680,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,502,469 : 56,353,567 = 56,353,567 : x
  2. Step 2: Convert to fraction form
    37,502,469/56,353,567 = 56,353,567/x
  3. Step 3: Cross multiply
    37,502,469x = 56,353,567 × 56,353,567
  4. Step 4: Simplify right side
    37,502,469x = 3,175,724,513,623,489
  5. Step 5: Solve for x
    x = 3,175,724,513,623,489/37,502,469
  6. Step 6: Final answer
    x = 84,680,411.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.