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Finding the Third Proportional to 25,571,516,982,466 and 52,498,654,575,518

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Solution

The third proportional to 25,571,516,982,466 and 52,498,654,575,518 is: 107,780,415,769,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,571,516,982,466 : 52,498,654,575,518 = 52,498,654,575,518 : x
  2. Step 2: Convert to fraction form
    25,571,516,982,466/52,498,654,575,518 = 52,498,654,575,518/x
  3. Step 3: Cross multiply
    25,571,516,982,466x = 52,498,654,575,518 × 52,498,654,575,518
  4. Step 4: Simplify right side
    25,571,516,982,466x = 2,756,108,732,239,557,307,863,662,592
  5. Step 5: Solve for x
    x = 2,756,108,732,239,557,307,863,662,592/25,571,516,982,466
  6. Step 6: Final answer
    x = 107,780,415,769,990.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.