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Finding the Third Proportional to 14,199,569 and 31,102,009

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Solution

The third proportional to 14,199,569 and 31,102,009 is: 68,124,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199,569 : 31,102,009 = 31,102,009 : x
  2. Step 2: Convert to fraction form
    14,199,569/31,102,009 = 31,102,009/x
  3. Step 3: Cross multiply
    14,199,569x = 31,102,009 × 31,102,009
  4. Step 4: Simplify right side
    14,199,569x = 967,334,963,836,081
  5. Step 5: Solve for x
    x = 967,334,963,836,081/14,199,569
  6. Step 6: Final answer
    x = 68,124,248.27

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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.