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Finding the Third Proportional to 63,576,709 and 137,317,135

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Solution

The third proportional to 63,576,709 and 137,317,135 is: 296,586,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,576,709 : 137,317,135 = 137,317,135 : x
  2. Step 2: Convert to fraction form
    63,576,709/137,317,135 = 137,317,135/x
  3. Step 3: Cross multiply
    63,576,709x = 137,317,135 × 137,317,135
  4. Step 4: Simplify right side
    63,576,709x = 18,855,995,564,608,224
  5. Step 5: Solve for x
    x = 18,855,995,564,608,224/63,576,709
  6. Step 6: Final answer
    x = 296,586,530.84

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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.