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Finding the Third Proportional to 31,646,434 and 64,970,540

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Solution

The third proportional to 31,646,434 and 64,970,540 is: 133,385,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646,434 : 64,970,540 = 64,970,540 : x
  2. Step 2: Convert to fraction form
    31,646,434/64,970,540 = 64,970,540/x
  3. Step 3: Cross multiply
    31,646,434x = 64,970,540 × 64,970,540
  4. Step 4: Simplify right side
    31,646,434x = 4,221,171,067,891,600
  5. Step 5: Solve for x
    x = 4,221,171,067,891,600/31,646,434
  6. Step 6: Final answer
    x = 133,385,362.40

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.