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Finding the Third Proportional to 4,849,863 and 6,743,346.75

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Solution

The third proportional to 4,849,863 and 6,743,346.75 is: 9,376,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849,863 : 6,743,346.75 = 6,743,346.75 : x
  2. Step 2: Convert to fraction form
    4,849,863/6,743,346.75 = 6,743,346.75/x
  3. Step 3: Cross multiply
    4,849,863x = 6,743,346.75 × 6,743,346.75
  4. Step 4: Simplify right side
    4,849,863x = 45,472,725,390,735.56
  5. Step 5: Solve for x
    x = 45,472,725,390,735.56/4,849,863
  6. Step 6: Final answer
    x = 9,376,084.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.