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Finding the Third Proportional to 47,583,635,502 and 71,988,445,548

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Solution

The third proportional to 47,583,635,502 and 71,988,445,548 is: 108,910,053,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,583,635,502 : 71,988,445,548 = 71,988,445,548 : x
  2. Step 2: Convert to fraction form
    47,583,635,502/71,988,445,548 = 71,988,445,548/x
  3. Step 3: Cross multiply
    47,583,635,502x = 71,988,445,548 × 71,988,445,548
  4. Step 4: Simplify right side
    47,583,635,502x = 5,182,336,292,417,361,149,952
  5. Step 5: Solve for x
    x = 5,182,336,292,417,361,149,952/47,583,635,502
  6. Step 6: Final answer
    x = 108,910,053,587.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.