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Finding the Third Proportional to 7,845,926 and 16,930,419

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Solution

The third proportional to 7,845,926 and 16,930,419 is: 36,533,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845,926 : 16,930,419 = 16,930,419 : x
  2. Step 2: Convert to fraction form
    7,845,926/16,930,419 = 16,930,419/x
  3. Step 3: Cross multiply
    7,845,926x = 16,930,419 × 16,930,419
  4. Step 4: Simplify right side
    7,845,926x = 286,639,087,515,561
  5. Step 5: Solve for x
    x = 286,639,087,515,561/7,845,926
  6. Step 6: Final answer
    x = 36,533,493.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.