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Finding the Third Proportional to 34,485,278 and 51,871,893

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Solution

The third proportional to 34,485,278 and 51,871,893 is: 78,024,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,485,278 : 51,871,893 = 51,871,893 : x
  2. Step 2: Convert to fraction form
    34,485,278/51,871,893 = 51,871,893/x
  3. Step 3: Cross multiply
    34,485,278x = 51,871,893 × 51,871,893
  4. Step 4: Simplify right side
    34,485,278x = 2,690,693,283,403,449
  5. Step 5: Solve for x
    x = 2,690,693,283,403,449/34,485,278
  6. Step 6: Final answer
    x = 78,024,404.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.