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Finding the Third Proportional to 392,596,664 and 825,807,376

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Solution

The third proportional to 392,596,664 and 825,807,376 is: 1,737,044,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,596,664 : 825,807,376 = 825,807,376 : x
  2. Step 2: Convert to fraction form
    392,596,664/825,807,376 = 825,807,376/x
  3. Step 3: Cross multiply
    392,596,664x = 825,807,376 × 825,807,376
  4. Step 4: Simplify right side
    392,596,664x = 681,957,822,256,005,376
  5. Step 5: Solve for x
    x = 681,957,822,256,005,376/392,596,664
  6. Step 6: Final answer
    x = 1,737,044,363.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.