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Finding the Third Proportional to 361,544,216 and 790,692,944

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Solution

The third proportional to 361,544,216 and 790,692,944 is: 1,729,236,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,544,216 : 790,692,944 = 790,692,944 : x
  2. Step 2: Convert to fraction form
    361,544,216/790,692,944 = 790,692,944/x
  3. Step 3: Cross multiply
    361,544,216x = 790,692,944 × 790,692,944
  4. Step 4: Simplify right side
    361,544,216x = 625,195,331,691,387,136
  5. Step 5: Solve for x
    x = 625,195,331,691,387,136/361,544,216
  6. Step 6: Final answer
    x = 1,729,236,159.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.