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Finding the Third Proportional to 547,618,334.25 and 1,291,424,649.38

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Solution

The third proportional to 547,618,334.25 and 1,291,424,649.38 is: 3,045,510,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,618,334.25 : 1,291,424,649.38 = 1,291,424,649.38 : x
  2. Step 2: Convert to fraction form
    547,618,334.25/1,291,424,649.38 = 1,291,424,649.38/x
  3. Step 3: Cross multiply
    547,618,334.25x = 1,291,424,649.38 × 1,291,424,649.38
  4. Step 4: Simplify right side
    547,618,334.25x = 1,667,777,625,013,341,696
  5. Step 5: Solve for x
    x = 1,667,777,625,013,341,696/547,618,334.25
  6. Step 6: Final answer
    x = 3,045,510,934.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.