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Finding the Third Proportional to 59,821,128 and 129,851,776

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Solution

The third proportional to 59,821,128 and 129,851,776 is: 281,865,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,821,128 : 129,851,776 = 129,851,776 : x
  2. Step 2: Convert to fraction form
    59,821,128/129,851,776 = 129,851,776/x
  3. Step 3: Cross multiply
    59,821,128x = 129,851,776 × 129,851,776
  4. Step 4: Simplify right side
    59,821,128x = 16,861,483,730,354,176
  5. Step 5: Solve for x
    x = 16,861,483,730,354,176/59,821,128
  6. Step 6: Final answer
    x = 281,865,024.85

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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.