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Finding the Third Proportional to 32,083,776 and 66,811,344

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Solution

The third proportional to 32,083,776 and 66,811,344 is: 139,128,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083,776 : 66,811,344 = 66,811,344 : x
  2. Step 2: Convert to fraction form
    32,083,776/66,811,344 = 66,811,344/x
  3. Step 3: Cross multiply
    32,083,776x = 66,811,344 × 66,811,344
  4. Step 4: Simplify right side
    32,083,776x = 4,463,755,687,086,336
  5. Step 5: Solve for x
    x = 4,463,755,687,086,336/32,083,776
  6. Step 6: Final answer
    x = 139,128,127.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.