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Finding the Third Proportional to 127,331,216 and 272,814,472

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Solution

The third proportional to 127,331,216 and 272,814,472 is: 584,520,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,331,216 : 272,814,472 = 272,814,472 : x
  2. Step 2: Convert to fraction form
    127,331,216/272,814,472 = 272,814,472/x
  3. Step 3: Cross multiply
    127,331,216x = 272,814,472 × 272,814,472
  4. Step 4: Simplify right side
    127,331,216x = 74,427,736,132,638,784
  5. Step 5: Solve for x
    x = 74,427,736,132,638,784/127,331,216
  6. Step 6: Final answer
    x = 584,520,736.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.