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Finding the Third Proportional to 63,215,986 and 137,918,028

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Solution

The third proportional to 63,215,986 and 137,918,028 is: 300,895,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,215,986 : 137,918,028 = 137,918,028 : x
  2. Step 2: Convert to fraction form
    63,215,986/137,918,028 = 137,918,028/x
  3. Step 3: Cross multiply
    63,215,986x = 137,918,028 × 137,918,028
  4. Step 4: Simplify right side
    63,215,986x = 19,021,382,447,408,784
  5. Step 5: Solve for x
    x = 19,021,382,447,408,784/63,215,986
  6. Step 6: Final answer
    x = 300,895,131.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.