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Finding the Third Proportional to 1,006,302,791 and 2,212,227,418

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Solution

The third proportional to 1,006,302,791 and 2,212,227,418 is: 4,863,297,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,302,791 : 2,212,227,418 = 2,212,227,418 : x
  2. Step 2: Convert to fraction form
    1,006,302,791/2,212,227,418 = 2,212,227,418/x
  3. Step 3: Cross multiply
    1,006,302,791x = 2,212,227,418 × 2,212,227,418
  4. Step 4: Simplify right side
    1,006,302,791x = 4,893,950,148,950,946,816
  5. Step 5: Solve for x
    x = 4,893,950,148,950,946,816/1,006,302,791
  6. Step 6: Final answer
    x = 4,863,297,799.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.