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Finding the Third Proportional to 8,072,946 and 13,454,424

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Solution

The third proportional to 8,072,946 and 13,454,424 is: 22,423,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072,946 : 13,454,424 = 13,454,424 : x
  2. Step 2: Convert to fraction form
    8,072,946/13,454,424 = 13,454,424/x
  3. Step 3: Cross multiply
    8,072,946x = 13,454,424 × 13,454,424
  4. Step 4: Simplify right side
    8,072,946x = 181,021,525,171,776
  5. Step 5: Solve for x
    x = 181,021,525,171,776/8,072,946
  6. Step 6: Final answer
    x = 22,423,230.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.