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Finding the Third Proportional to 127,369,468.50 and 277,796,409

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Solution

The third proportional to 127,369,468.50 and 277,796,409 is: 605,881,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,369,468.50 : 277,796,409 = 277,796,409 : x
  2. Step 2: Convert to fraction form
    127,369,468.50/277,796,409 = 277,796,409/x
  3. Step 3: Cross multiply
    127,369,468.50x = 277,796,409 × 277,796,409
  4. Step 4: Simplify right side
    127,369,468.50x = 77,170,844,853,295,280
  5. Step 5: Solve for x
    x = 77,170,844,853,295,280/127,369,468.50
  6. Step 6: Final answer
    x = 605,881,815.81

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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.