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Finding the Third Proportional to 566,315,466,438 and 1,213,408,020,876

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Solution

The third proportional to 566,315,466,438 and 1,213,408,020,876 is: 2,599,891,954,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,315,466,438 : 1,213,408,020,876 = 1,213,408,020,876 : x
  2. Step 2: Convert to fraction form
    566,315,466,438/1,213,408,020,876 = 1,213,408,020,876/x
  3. Step 3: Cross multiply
    566,315,466,438x = 1,213,408,020,876 × 1,213,408,020,876
  4. Step 4: Simplify right side
    566,315,466,438x = 1,472,359,025,126,211,160,375,296
  5. Step 5: Solve for x
    x = 1,472,359,025,126,211,160,375,296/566,315,466,438
  6. Step 6: Final answer
    x = 2,599,891,954,897.55

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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.