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Finding the Third Proportional to 127,331,219 and 272,814,480

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Solution

The third proportional to 127,331,219 and 272,814,480 is: 584,520,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,331,219 : 272,814,480 = 272,814,480 : x
  2. Step 2: Convert to fraction form
    127,331,219/272,814,480 = 272,814,480/x
  3. Step 3: Cross multiply
    127,331,219x = 272,814,480 × 272,814,480
  4. Step 4: Simplify right side
    127,331,219x = 74,427,740,497,670,400
  5. Step 5: Solve for x
    x = 74,427,740,497,670,400/127,331,219
  6. Step 6: Final answer
    x = 584,520,756.83

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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.