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Finding the Third Proportional to 6,059,766.75 and 9,646,947

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Solution

The third proportional to 6,059,766.75 and 9,646,947 is: 15,357,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059,766.75 : 9,646,947 = 9,646,947 : x
  2. Step 2: Convert to fraction form
    6,059,766.75/9,646,947 = 9,646,947/x
  3. Step 3: Cross multiply
    6,059,766.75x = 9,646,947 × 9,646,947
  4. Step 4: Simplify right side
    6,059,766.75x = 93,063,586,420,809
  5. Step 5: Solve for x
    x = 93,063,586,420,809/6,059,766.75
  6. Step 6: Final answer
    x = 15,357,618.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.