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Finding the Third Proportional to 14,228,878 and 31,156,028

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Solution

The third proportional to 14,228,878 and 31,156,028 is: 68,220,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228,878 : 31,156,028 = 31,156,028 : x
  2. Step 2: Convert to fraction form
    14,228,878/31,156,028 = 31,156,028/x
  3. Step 3: Cross multiply
    14,228,878x = 31,156,028 × 31,156,028
  4. Step 4: Simplify right side
    14,228,878x = 970,698,080,736,784
  5. Step 5: Solve for x
    x = 970,698,080,736,784/14,228,878
  6. Step 6: Final answer
    x = 68,220,282.78

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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.