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Finding the Third Proportional to 127,531,112 and 266,384,320

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Solution

The third proportional to 127,531,112 and 266,384,320 is: 556,417,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,531,112 : 266,384,320 = 266,384,320 : x
  2. Step 2: Convert to fraction form
    127,531,112/266,384,320 = 266,384,320/x
  3. Step 3: Cross multiply
    127,531,112x = 266,384,320 × 266,384,320
  4. Step 4: Simplify right side
    127,531,112x = 70,960,605,941,862,400
  5. Step 5: Solve for x
    x = 70,960,605,941,862,400/127,531,112
  6. Step 6: Final answer
    x = 556,417,997.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.