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Finding the Third Proportional to 127,584,136.13 and 278,260,137

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Solution

The third proportional to 127,584,136.13 and 278,260,137 is: 606,883,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,584,136.13 : 278,260,137 = 278,260,137 : x
  2. Step 2: Convert to fraction form
    127,584,136.13/278,260,137 = 278,260,137/x
  3. Step 3: Cross multiply
    127,584,136.13x = 278,260,137 × 278,260,137
  4. Step 4: Simplify right side
    127,584,136.13x = 77,428,703,843,258,768
  5. Step 5: Solve for x
    x = 77,428,703,843,258,768/127,584,136.13
  6. Step 6: Final answer
    x = 606,883,474.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.