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Finding the Third Proportional to 1,165,634,535 and 2,378,092,506

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Solution

The third proportional to 1,165,634,535 and 2,378,092,506 is: 4,851,712,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,634,535 : 2,378,092,506 = 2,378,092,506 : x
  2. Step 2: Convert to fraction form
    1,165,634,535/2,378,092,506 = 2,378,092,506/x
  3. Step 3: Cross multiply
    1,165,634,535x = 2,378,092,506 × 2,378,092,506
  4. Step 4: Simplify right side
    1,165,634,535x = 5,655,323,967,093,359,616
  5. Step 5: Solve for x
    x = 5,655,323,967,093,359,616/1,165,634,535
  6. Step 6: Final answer
    x = 4,851,712,777.28

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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.