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Finding the Third Proportional to 63,976,742 and 138,147,628

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Solution

The third proportional to 63,976,742 and 138,147,628 is: 298,307,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,976,742 : 138,147,628 = 138,147,628 : x
  2. Step 2: Convert to fraction form
    63,976,742/138,147,628 = 138,147,628/x
  3. Step 3: Cross multiply
    63,976,742x = 138,147,628 × 138,147,628
  4. Step 4: Simplify right side
    63,976,742x = 19,084,767,122,026,384
  5. Step 5: Solve for x
    x = 19,084,767,122,026,384/63,976,742
  6. Step 6: Final answer
    x = 298,307,893.23

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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.