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Finding the Third Proportional to 633,015,850 and 1,349,644,436

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Solution

The third proportional to 633,015,850 and 1,349,644,436 is: 2,877,558,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,015,850 : 1,349,644,436 = 1,349,644,436 : x
  2. Step 2: Convert to fraction form
    633,015,850/1,349,644,436 = 1,349,644,436/x
  3. Step 3: Cross multiply
    633,015,850x = 1,349,644,436 × 1,349,644,436
  4. Step 4: Simplify right side
    633,015,850x = 1,821,540,103,625,758,208
  5. Step 5: Solve for x
    x = 1,821,540,103,625,758,208/633,015,850
  6. Step 6: Final answer
    x = 2,877,558,442.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.