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Finding the Third Proportional to 8,250,117.75 and 13,060,774.13

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Solution

The third proportional to 8,250,117.75 and 13,060,774.13 is: 20,676,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250,117.75 : 13,060,774.13 = 13,060,774.13 : x
  2. Step 2: Convert to fraction form
    8,250,117.75/13,060,774.13 = 13,060,774.13/x
  3. Step 3: Cross multiply
    8,250,117.75x = 13,060,774.13 × 13,060,774.13
  4. Step 4: Simplify right side
    8,250,117.75x = 170,583,820,744,269.50
  5. Step 5: Solve for x
    x = 170,583,820,744,269.50/8,250,117.75
  6. Step 6: Final answer
    x = 20,676,531.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.