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Finding the Third Proportional to 31,888,310 and 49,512,465

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Solution

The third proportional to 31,888,310 and 49,512,465 is: 76,877,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888,310 : 49,512,465 = 49,512,465 : x
  2. Step 2: Convert to fraction form
    31,888,310/49,512,465 = 49,512,465/x
  3. Step 3: Cross multiply
    31,888,310x = 49,512,465 × 49,512,465
  4. Step 4: Simplify right side
    31,888,310x = 2,451,484,190,376,225
  5. Step 5: Solve for x
    x = 2,451,484,190,376,225/31,888,310
  6. Step 6: Final answer
    x = 76,877,206.42

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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.