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Finding the Third Proportional to 75,471,798 and 161,706,924

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Solution

The third proportional to 75,471,798 and 161,706,924 is: 346,475,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,471,798 : 161,706,924 = 161,706,924 : x
  2. Step 2: Convert to fraction form
    75,471,798/161,706,924 = 161,706,924/x
  3. Step 3: Cross multiply
    75,471,798x = 161,706,924 × 161,706,924
  4. Step 4: Simplify right side
    75,471,798x = 26,149,129,269,541,776
  5. Step 5: Solve for x
    x = 26,149,129,269,541,776/75,471,798
  6. Step 6: Final answer
    x = 346,475,504.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.