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Finding the Third Proportional to 7,845,891 and 16,930,351.50

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Solution

The third proportional to 7,845,891 and 16,930,351.50 is: 36,533,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845,891 : 16,930,351.50 = 16,930,351.50 : x
  2. Step 2: Convert to fraction form
    7,845,891/16,930,351.50 = 16,930,351.50/x
  3. Step 3: Cross multiply
    7,845,891x = 16,930,351.50 × 16,930,351.50
  4. Step 4: Simplify right side
    7,845,891x = 286,636,801,913,552.25
  5. Step 5: Solve for x
    x = 286,636,801,913,552.25/7,845,891
  6. Step 6: Final answer
    x = 36,533,365.29

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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.