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Finding the Third Proportional to 20,008,755,076 and 29,431,145,670

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Solution

The third proportional to 20,008,755,076 and 29,431,145,670 is: 43,290,666,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,008,755,076 : 29,431,145,670 = 29,431,145,670 : x
  2. Step 2: Convert to fraction form
    20,008,755,076/29,431,145,670 = 29,431,145,670/x
  3. Step 3: Cross multiply
    20,008,755,076x = 29,431,145,670 × 29,431,145,670
  4. Step 4: Simplify right side
    20,008,755,076x = 866,192,335,448,759,730,176
  5. Step 5: Solve for x
    x = 866,192,335,448,759,730,176/20,008,755,076
  6. Step 6: Final answer
    x = 43,290,666,118.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.