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Finding the Third Proportional to 413,304,469,248 and 646,934,377,280

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Solution

The third proportional to 413,304,469,248 and 646,934,377,280 is: 1,012,628,993,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,304,469,248 : 646,934,377,280 = 646,934,377,280 : x
  2. Step 2: Convert to fraction form
    413,304,469,248/646,934,377,280 = 646,934,377,280/x
  3. Step 3: Cross multiply
    413,304,469,248x = 646,934,377,280 × 646,934,377,280
  4. Step 4: Simplify right side
    413,304,469,248x = 418,524,088,506,661,350,670,336
  5. Step 5: Solve for x
    x = 418,524,088,506,661,350,670,336/413,304,469,248
  6. Step 6: Final answer
    x = 1,012,628,993,023.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.