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Finding the Third Proportional to 5,650,307,037 and 13,197,466,449

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Solution

The third proportional to 5,650,307,037 and 13,197,466,449 is: 30,825,425,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650,307,037 : 13,197,466,449 = 13,197,466,449 : x
  2. Step 2: Convert to fraction form
    5,650,307,037/13,197,466,449 = 13,197,466,449/x
  3. Step 3: Cross multiply
    5,650,307,037x = 13,197,466,449 × 13,197,466,449
  4. Step 4: Simplify right side
    5,650,307,037x = 174,173,120,672,480,657,408
  5. Step 5: Solve for x
    x = 174,173,120,672,480,657,408/5,650,307,037
  6. Step 6: Final answer
    x = 30,825,425,863.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.