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Finding the Third Proportional to 63,886,944 and 138,967,537

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Solution

The third proportional to 63,886,944 and 138,967,537 is: 302,283,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,886,944 : 138,967,537 = 138,967,537 : x
  2. Step 2: Convert to fraction form
    63,886,944/138,967,537 = 138,967,537/x
  3. Step 3: Cross multiply
    63,886,944x = 138,967,537 × 138,967,537
  4. Step 4: Simplify right side
    63,886,944x = 19,311,976,339,846,368
  5. Step 5: Solve for x
    x = 19,311,976,339,846,368/63,886,944
  6. Step 6: Final answer
    x = 302,283,614.31

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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.