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Finding the Third Proportional to 1,755,793,524 and 2,536,818,438

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Solution

The third proportional to 1,755,793,524 and 2,536,818,438 is: 3,665,264,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,793,524 : 2,536,818,438 = 2,536,818,438 : x
  2. Step 2: Convert to fraction form
    1,755,793,524/2,536,818,438 = 2,536,818,438/x
  3. Step 3: Cross multiply
    1,755,793,524x = 2,536,818,438 × 2,536,818,438
  4. Step 4: Simplify right side
    1,755,793,524x = 6,435,447,787,376,759,808
  5. Step 5: Solve for x
    x = 6,435,447,787,376,759,808/1,755,793,524
  6. Step 6: Final answer
    x = 3,665,264,565.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.