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Finding the Third Proportional to 10,448,294 and 16,145,283

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Solution

The third proportional to 10,448,294 and 16,145,283 is: 24,948,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448,294 : 16,145,283 = 16,145,283 : x
  2. Step 2: Convert to fraction form
    10,448,294/16,145,283 = 16,145,283/x
  3. Step 3: Cross multiply
    10,448,294x = 16,145,283 × 16,145,283
  4. Step 4: Simplify right side
    10,448,294x = 260,670,163,150,089
  5. Step 5: Solve for x
    x = 260,670,163,150,089/10,448,294
  6. Step 6: Final answer
    x = 24,948,586.17

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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.