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Finding the Third Proportional to 617,659,023 and 940,960,825.50

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Solution

The third proportional to 617,659,023 and 940,960,825.50 is: 1,433,488,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,659,023 : 940,960,825.50 = 940,960,825.50 : x
  2. Step 2: Convert to fraction form
    617,659,023/940,960,825.50 = 940,960,825.50/x
  3. Step 3: Cross multiply
    617,659,023x = 940,960,825.50 × 940,960,825.50
  4. Step 4: Simplify right side
    617,659,023x = 885,407,275,125,641,472
  5. Step 5: Solve for x
    x = 885,407,275,125,641,472/617,659,023
  6. Step 6: Final answer
    x = 1,433,488,773.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.