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Finding the Third Proportional to 63,576,749 and 137,317,216

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Solution

The third proportional to 63,576,749 and 137,317,216 is: 296,586,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,576,749 : 137,317,216 = 137,317,216 : x
  2. Step 2: Convert to fraction form
    63,576,749/137,317,216 = 137,317,216/x
  3. Step 3: Cross multiply
    63,576,749x = 137,317,216 × 137,317,216
  4. Step 4: Simplify right side
    63,576,749x = 18,856,017,809,990,656
  5. Step 5: Solve for x
    x = 18,856,017,809,990,656/63,576,749
  6. Step 6: Final answer
    x = 296,586,694.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.