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Finding the Third Proportional to 5,306,612 and 11,370,022

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Solution

The third proportional to 5,306,612 and 11,370,022 is: 24,361,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,612 : 11,370,022 = 11,370,022 : x
  2. Step 2: Convert to fraction form
    5,306,612/11,370,022 = 11,370,022/x
  3. Step 3: Cross multiply
    5,306,612x = 11,370,022 × 11,370,022
  4. Step 4: Simplify right side
    5,306,612x = 129,277,400,280,484
  5. Step 5: Solve for x
    x = 129,277,400,280,484/5,306,612
  6. Step 6: Final answer
    x = 24,361,570.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.