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Finding the Third Proportional to 517,372,363,412 and 1,132,277,236,764

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Solution

The third proportional to 517,372,363,412 and 1,132,277,236,764 is: 2,478,005,845,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,372,363,412 : 1,132,277,236,764 = 1,132,277,236,764 : x
  2. Step 2: Convert to fraction form
    517,372,363,412/1,132,277,236,764 = 1,132,277,236,764/x
  3. Step 3: Cross multiply
    517,372,363,412x = 1,132,277,236,764 × 1,132,277,236,764
  4. Step 4: Simplify right side
    517,372,363,412x = 1,282,051,740,893,919,261,491,200
  5. Step 5: Solve for x
    x = 1,282,051,740,893,919,261,491,200/517,372,363,412
  6. Step 6: Final answer
    x = 2,478,005,845,613.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.