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Finding the Third Proportional to 2,869,852,763 and 4,103,894,338

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Solution

The third proportional to 2,869,852,763 and 4,103,894,338 is: 5,868,575,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869,852,763 : 4,103,894,338 = 4,103,894,338 : x
  2. Step 2: Convert to fraction form
    2,869,852,763/4,103,894,338 = 4,103,894,338/x
  3. Step 3: Cross multiply
    2,869,852,763x = 4,103,894,338 × 4,103,894,338
  4. Step 4: Simplify right side
    2,869,852,763x = 16,841,948,737,468,459,008
  5. Step 5: Solve for x
    x = 16,841,948,737,468,459,008/2,869,852,763
  6. Step 6: Final answer
    x = 5,868,575,891.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.