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Finding the Third Proportional to 523,865,046 and 873,055,792

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Solution

The third proportional to 523,865,046 and 873,055,792 is: 1,455,005,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,865,046 : 873,055,792 = 873,055,792 : x
  2. Step 2: Convert to fraction form
    523,865,046/873,055,792 = 873,055,792/x
  3. Step 3: Cross multiply
    523,865,046x = 873,055,792 × 873,055,792
  4. Step 4: Simplify right side
    523,865,046x = 762,226,415,944,747,264
  5. Step 5: Solve for x
    x = 762,226,415,944,747,264/523,865,046
  6. Step 6: Final answer
    x = 1,455,005,295.29

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.