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Finding the Third Proportional to 69,908,006 and 108,542,647

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Solution

The third proportional to 69,908,006 and 108,542,647 is: 168,528,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,908,006 : 108,542,647 = 108,542,647 : x
  2. Step 2: Convert to fraction form
    69,908,006/108,542,647 = 108,542,647/x
  3. Step 3: Cross multiply
    69,908,006x = 108,542,647 × 108,542,647
  4. Step 4: Simplify right side
    69,908,006x = 11,781,506,217,766,608
  5. Step 5: Solve for x
    x = 11,781,506,217,766,608/69,908,006
  6. Step 6: Final answer
    x = 168,528,712.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.