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Finding the Third Proportional to 3,928,332,578 and 8,510,513,354

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Solution

The third proportional to 3,928,332,578 and 8,510,513,354 is: 18,437,552,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928,332,578 : 8,510,513,354 = 8,510,513,354 : x
  2. Step 2: Convert to fraction form
    3,928,332,578/8,510,513,354 = 8,510,513,354/x
  3. Step 3: Cross multiply
    3,928,332,578x = 8,510,513,354 × 8,510,513,354
  4. Step 4: Simplify right side
    3,928,332,578x = 72,428,837,548,612,329,472
  5. Step 5: Solve for x
    x = 72,428,837,548,612,329,472/3,928,332,578
  6. Step 6: Final answer
    x = 18,437,552,348.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.