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Finding the Third Proportional to 63,976,046 and 138,146,236

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Solution

The third proportional to 63,976,046 and 138,146,236 is: 298,305,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,976,046 : 138,146,236 = 138,146,236 : x
  2. Step 2: Convert to fraction form
    63,976,046/138,146,236 = 138,146,236/x
  3. Step 3: Cross multiply
    63,976,046x = 138,146,236 × 138,146,236
  4. Step 4: Simplify right side
    63,976,046x = 19,084,382,520,967,696
  5. Step 5: Solve for x
    x = 19,084,382,520,967,696/63,976,046
  6. Step 6: Final answer
    x = 298,305,126.91

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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.