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Finding the Third Proportional to 10,448,306 and 16,145,299

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Solution

The third proportional to 10,448,306 and 16,145,299 is: 24,948,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448,306 : 16,145,299 = 16,145,299 : x
  2. Step 2: Convert to fraction form
    10,448,306/16,145,299 = 16,145,299/x
  3. Step 3: Cross multiply
    10,448,306x = 16,145,299 × 16,145,299
  4. Step 4: Simplify right side
    10,448,306x = 260,670,679,799,401
  5. Step 5: Solve for x
    x = 260,670,679,799,401/10,448,306
  6. Step 6: Final answer
    x = 24,948,606.96

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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.