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Finding the Third Proportional to 63,975,309 and 138,144,762

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Solution

The third proportional to 63,975,309 and 138,144,762 is: 298,302,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,975,309 : 138,144,762 = 138,144,762 : x
  2. Step 2: Convert to fraction form
    63,975,309/138,144,762 = 138,144,762/x
  3. Step 3: Cross multiply
    63,975,309x = 138,144,762 × 138,144,762
  4. Step 4: Simplify right side
    63,975,309x = 19,083,975,268,036,644
  5. Step 5: Solve for x
    x = 19,083,975,268,036,644/63,975,309
  6. Step 6: Final answer
    x = 298,302,197.62

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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.