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Finding the Third Proportional to 517,372,363,414 and 1,132,277,236,768

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Solution

The third proportional to 517,372,363,414 and 1,132,277,236,768 is: 2,478,005,845,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,372,363,414 : 1,132,277,236,768 = 1,132,277,236,768 : x
  2. Step 2: Convert to fraction form
    517,372,363,414/1,132,277,236,768 = 1,132,277,236,768/x
  3. Step 3: Cross multiply
    517,372,363,414x = 1,132,277,236,768 × 1,132,277,236,768
  4. Step 4: Simplify right side
    517,372,363,414x = 1,282,051,740,902,977,615,953,920
  5. Step 5: Solve for x
    x = 1,282,051,740,902,977,615,953,920/517,372,363,414
  6. Step 6: Final answer
    x = 2,478,005,845,621.64

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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.