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Finding the Third Proportional to 51,725,952 and 81,142,560

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Solution

The third proportional to 51,725,952 and 81,142,560 is: 127,288,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,725,952 : 81,142,560 = 81,142,560 : x
  2. Step 2: Convert to fraction form
    51,725,952/81,142,560 = 81,142,560/x
  3. Step 3: Cross multiply
    51,725,952x = 81,142,560 × 81,142,560
  4. Step 4: Simplify right side
    51,725,952x = 6,584,115,043,353,600
  5. Step 5: Solve for x
    x = 6,584,115,043,353,600/51,725,952
  6. Step 6: Final answer
    x = 127,288,426.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.