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Finding the Third Proportional to 1,165,634,550 and 2,378,092,534

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Solution

The third proportional to 1,165,634,550 and 2,378,092,534 is: 4,851,712,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,634,550 : 2,378,092,534 = 2,378,092,534 : x
  2. Step 2: Convert to fraction form
    1,165,634,550/2,378,092,534 = 2,378,092,534/x
  3. Step 3: Cross multiply
    1,165,634,550x = 2,378,092,534 × 2,378,092,534
  4. Step 4: Simplify right side
    1,165,634,550x = 5,655,324,100,266,541,056
  5. Step 5: Solve for x
    x = 5,655,324,100,266,541,056/1,165,634,550
  6. Step 6: Final answer
    x = 4,851,712,829.09

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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.