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Finding the Third Proportional to 1,017,737,626 and 2,215,691,146

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Solution

The third proportional to 1,017,737,626 and 2,215,691,146 is: 4,823,725,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,737,626 : 2,215,691,146 = 2,215,691,146 : x
  2. Step 2: Convert to fraction form
    1,017,737,626/2,215,691,146 = 2,215,691,146/x
  3. Step 3: Cross multiply
    1,017,737,626x = 2,215,691,146 × 2,215,691,146
  4. Step 4: Simplify right side
    1,017,737,626x = 4,909,287,254,462,793,728
  5. Step 5: Solve for x
    x = 4,909,287,254,462,793,728/1,017,737,626
  6. Step 6: Final answer
    x = 4,823,725,810.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.