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Finding the Third Proportional to 127,369,465 and 277,796,400

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Solution

The third proportional to 127,369,465 and 277,796,400 is: 605,881,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,369,465 : 277,796,400 = 277,796,400 : x
  2. Step 2: Convert to fraction form
    127,369,465/277,796,400 = 277,796,400/x
  3. Step 3: Cross multiply
    127,369,465x = 277,796,400 × 277,796,400
  4. Step 4: Simplify right side
    127,369,465x = 77,170,839,852,960,000
  5. Step 5: Solve for x
    x = 77,170,839,852,960,000/127,369,465
  6. Step 6: Final answer
    x = 605,881,793.20

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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.