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Finding the Third Proportional to 14,476,422 and 31,176,982

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Solution

The third proportional to 14,476,422 and 31,176,982 is: 67,143,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476,422 : 31,176,982 = 31,176,982 : x
  2. Step 2: Convert to fraction form
    14,476,422/31,176,982 = 31,176,982/x
  3. Step 3: Cross multiply
    14,476,422x = 31,176,982 × 31,176,982
  4. Step 4: Simplify right side
    14,476,422x = 972,004,206,628,324
  5. Step 5: Solve for x
    x = 972,004,206,628,324/14,476,422
  6. Step 6: Final answer
    x = 67,143,953.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.