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Finding the Third Proportional to 63,576,718 and 137,317,152

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Solution

The third proportional to 63,576,718 and 137,317,152 is: 296,586,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,576,718 : 137,317,152 = 137,317,152 : x
  2. Step 2: Convert to fraction form
    63,576,718/137,317,152 = 137,317,152/x
  3. Step 3: Cross multiply
    63,576,718x = 137,317,152 × 137,317,152
  4. Step 4: Simplify right side
    63,576,718x = 18,856,000,233,391,104
  5. Step 5: Solve for x
    x = 18,856,000,233,391,104/63,576,718
  6. Step 6: Final answer
    x = 296,586,562.29

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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.