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Finding the Third Proportional to 31,134,824 and 68,133,952

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Solution

The third proportional to 31,134,824 and 68,133,952 is: 149,101,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134,824 : 68,133,952 = 68,133,952 : x
  2. Step 2: Convert to fraction form
    31,134,824/68,133,952 = 68,133,952/x
  3. Step 3: Cross multiply
    31,134,824x = 68,133,952 × 68,133,952
  4. Step 4: Simplify right side
    31,134,824x = 4,642,235,415,138,304
  5. Step 5: Solve for x
    x = 4,642,235,415,138,304/31,134,824
  6. Step 6: Final answer
    x = 149,101,064.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.