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Finding the Third Proportional to 49,686,471 and 108,584,585

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Solution

The third proportional to 49,686,471 and 108,584,585 is: 237,300,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,686,471 : 108,584,585 = 108,584,585 : x
  2. Step 2: Convert to fraction form
    49,686,471/108,584,585 = 108,584,585/x
  3. Step 3: Cross multiply
    49,686,471x = 108,584,585 × 108,584,585
  4. Step 4: Simplify right side
    49,686,471x = 11,790,612,099,622,224
  5. Step 5: Solve for x
    x = 11,790,612,099,622,224/49,686,471
  6. Step 6: Final answer
    x = 237,300,252.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.