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Finding the Third Proportional to 1,165,634,541 and 2,378,092,518

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Solution

The third proportional to 1,165,634,541 and 2,378,092,518 is: 4,851,712,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,634,541 : 2,378,092,518 = 2,378,092,518 : x
  2. Step 2: Convert to fraction form
    1,165,634,541/2,378,092,518 = 2,378,092,518/x
  3. Step 3: Cross multiply
    1,165,634,541x = 2,378,092,518 × 2,378,092,518
  4. Step 4: Simplify right side
    1,165,634,541x = 5,655,324,024,167,580,672
  5. Step 5: Solve for x
    x = 5,655,324,024,167,580,672/1,165,634,541
  6. Step 6: Final answer
    x = 4,851,712,801.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.