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Finding the Third Proportional to 14,744,976 and 32,324,319

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Solution

The third proportional to 14,744,976 and 32,324,319 is: 70,862,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744,976 : 32,324,319 = 32,324,319 : x
  2. Step 2: Convert to fraction form
    14,744,976/32,324,319 = 32,324,319/x
  3. Step 3: Cross multiply
    14,744,976x = 32,324,319 × 32,324,319
  4. Step 4: Simplify right side
    14,744,976x = 1,044,861,598,813,761
  5. Step 5: Solve for x
    x = 1,044,861,598,813,761/14,744,976
  6. Step 6: Final answer
    x = 70,862,210.89

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Why These Related Problems?

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