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Finding the Third Proportional to 56,514,624 and 125,819,904

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Solution

The third proportional to 56,514,624 and 125,819,904 is: 280,115,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,514,624 : 125,819,904 = 125,819,904 : x
  2. Step 2: Convert to fraction form
    56,514,624/125,819,904 = 125,819,904/x
  3. Step 3: Cross multiply
    56,514,624x = 125,819,904 × 125,819,904
  4. Step 4: Simplify right side
    56,514,624x = 15,830,648,242,569,216
  5. Step 5: Solve for x
    x = 15,830,648,242,569,216/56,514,624
  6. Step 6: Final answer
    x = 280,115,961.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.