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Finding the Third Proportional to 10,448,304 and 16,145,296

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Solution

The third proportional to 10,448,304 and 16,145,296 is: 24,948,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448,304 : 16,145,296 = 16,145,296 : x
  2. Step 2: Convert to fraction form
    10,448,304/16,145,296 = 16,145,296/x
  3. Step 3: Cross multiply
    10,448,304x = 16,145,296 × 16,145,296
  4. Step 4: Simplify right side
    10,448,304x = 260,670,582,927,616
  5. Step 5: Solve for x
    x = 260,670,582,927,616/10,448,304
  6. Step 6: Final answer
    x = 24,948,602.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.