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Finding the Third Proportional to 4,475,292 and 6,882,842.25

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Solution

The third proportional to 4,475,292 and 6,882,842.25 is: 10,585,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475,292 : 6,882,842.25 = 6,882,842.25 : x
  2. Step 2: Convert to fraction form
    4,475,292/6,882,842.25 = 6,882,842.25/x
  3. Step 3: Cross multiply
    4,475,292x = 6,882,842.25 × 6,882,842.25
  4. Step 4: Simplify right side
    4,475,292x = 47,373,517,438,385.06
  5. Step 5: Solve for x
    x = 47,373,517,438,385.06/4,475,292
  6. Step 6: Final answer
    x = 10,585,570.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.