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Finding the Third Proportional to 2,803,737,582 and 5,982,746,868

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Solution

The third proportional to 2,803,737,582 and 5,982,746,868 is: 12,766,266,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803,737,582 : 5,982,746,868 = 5,982,746,868 : x
  2. Step 2: Convert to fraction form
    2,803,737,582/5,982,746,868 = 5,982,746,868/x
  3. Step 3: Cross multiply
    2,803,737,582x = 5,982,746,868 × 5,982,746,868
  4. Step 4: Simplify right side
    2,803,737,582x = 35,793,260,086,563,811,328
  5. Step 5: Solve for x
    x = 35,793,260,086,563,811,328/2,803,737,582
  6. Step 6: Final answer
    x = 12,766,266,114.33

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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.