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Finding the Third Proportional to 269,218,464 and 585,606,468

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Solution

The third proportional to 269,218,464 and 585,606,468 is: 1,273,816,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,218,464 : 585,606,468 = 585,606,468 : x
  2. Step 2: Convert to fraction form
    269,218,464/585,606,468 = 585,606,468/x
  3. Step 3: Cross multiply
    269,218,464x = 585,606,468 × 585,606,468
  4. Step 4: Simplify right side
    269,218,464x = 342,934,935,363,435,008
  5. Step 5: Solve for x
    x = 342,934,935,363,435,008/269,218,464
  6. Step 6: Final answer
    x = 1,273,816,551.32

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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.