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Finding the Third Proportional to 14,476,415 and 31,176,969

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Solution

The third proportional to 14,476,415 and 31,176,969 is: 67,143,930.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476,415 : 31,176,969 = 31,176,969 : x
  2. Step 2: Convert to fraction form
    14,476,415/31,176,969 = 31,176,969/x
  3. Step 3: Cross multiply
    14,476,415x = 31,176,969 × 31,176,969
  4. Step 4: Simplify right side
    14,476,415x = 972,003,396,026,961
  5. Step 5: Solve for x
    x = 972,003,396,026,961/14,476,415
  6. Step 6: Final answer
    x = 67,143,930.04

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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.