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Finding the Third Proportional to 564,392,963 and 1,215,277,942

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Solution

The third proportional to 564,392,963 and 1,215,277,942 is: 2,616,794,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,392,963 : 1,215,277,942 = 1,215,277,942 : x
  2. Step 2: Convert to fraction form
    564,392,963/1,215,277,942 = 1,215,277,942/x
  3. Step 3: Cross multiply
    564,392,963x = 1,215,277,942 × 1,215,277,942
  4. Step 4: Simplify right side
    564,392,963x = 1,476,900,476,311,755,264
  5. Step 5: Solve for x
    x = 1,476,900,476,311,755,264/564,392,963
  6. Step 6: Final answer
    x = 2,616,794,632.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.