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Finding the Third Proportional to 127,331,212 and 272,814,464

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Solution

The third proportional to 127,331,212 and 272,814,464 is: 584,520,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,331,212 : 272,814,464 = 272,814,464 : x
  2. Step 2: Convert to fraction form
    127,331,212/272,814,464 = 272,814,464/x
  3. Step 3: Cross multiply
    127,331,212x = 272,814,464 × 272,814,464
  4. Step 4: Simplify right side
    127,331,212x = 74,427,731,767,607,296
  5. Step 5: Solve for x
    x = 74,427,731,767,607,296/127,331,212
  6. Step 6: Final answer
    x = 584,520,720.40

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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.