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Finding the Third Proportional to 617,657,527.13 and 940,959,143.44

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Solution

The third proportional to 617,657,527.13 and 940,959,143.44 is: 1,433,487,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,657,527.13 : 940,959,143.44 = 940,959,143.44 : x
  2. Step 2: Convert to fraction form
    617,657,527.13/940,959,143.44 = 940,959,143.44/x
  3. Step 3: Cross multiply
    617,657,527.13x = 940,959,143.44 × 940,959,143.44
  4. Step 4: Simplify right side
    617,657,527.13x = 885,404,109,618,633,728
  5. Step 5: Solve for x
    x = 885,404,109,618,633,728/617,657,527.13
  6. Step 6: Final answer
    x = 1,433,487,119.86

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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.