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Finding the Third Proportional to 14,782,156 and 31,607,191

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Solution

The third proportional to 14,782,156 and 31,607,191 is: 67,582,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782,156 : 31,607,191 = 31,607,191 : x
  2. Step 2: Convert to fraction form
    14,782,156/31,607,191 = 31,607,191/x
  3. Step 3: Cross multiply
    14,782,156x = 31,607,191 × 31,607,191
  4. Step 4: Simplify right side
    14,782,156x = 999,014,522,910,481
  5. Step 5: Solve for x
    x = 999,014,522,910,481/14,782,156
  6. Step 6: Final answer
    x = 67,582,463.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.