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Finding the Third Proportional to 127,337,202 and 272,828,664

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Solution

The third proportional to 127,337,202 and 272,828,664 is: 584,554,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,337,202 : 272,828,664 = 272,828,664 : x
  2. Step 2: Convert to fraction form
    127,337,202/272,828,664 = 272,828,664/x
  3. Step 3: Cross multiply
    127,337,202x = 272,828,664 × 272,828,664
  4. Step 4: Simplify right side
    127,337,202x = 74,435,479,900,024,896
  5. Step 5: Solve for x
    x = 74,435,479,900,024,896/127,337,202
  6. Step 6: Final answer
    x = 584,554,071.64

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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.