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Finding the Third Proportional to 14,412,408 and 31,484,208

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Solution

The third proportional to 14,412,408 and 31,484,208 is: 68,777,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412,408 : 31,484,208 = 31,484,208 : x
  2. Step 2: Convert to fraction form
    14,412,408/31,484,208 = 31,484,208/x
  3. Step 3: Cross multiply
    14,412,408x = 31,484,208 × 31,484,208
  4. Step 4: Simplify right side
    14,412,408x = 991,255,353,387,264
  5. Step 5: Solve for x
    x = 991,255,353,387,264/14,412,408
  6. Step 6: Final answer
    x = 68,777,913.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.