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Finding the Third Proportional to 4,830,780.75 and 10,418,187

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Solution

The third proportional to 4,830,780.75 and 10,418,187 is: 22,468,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830,780.75 : 10,418,187 = 10,418,187 : x
  2. Step 2: Convert to fraction form
    4,830,780.75/10,418,187 = 10,418,187/x
  3. Step 3: Cross multiply
    4,830,780.75x = 10,418,187 × 10,418,187
  4. Step 4: Simplify right side
    4,830,780.75x = 108,538,620,366,969
  5. Step 5: Solve for x
    x = 108,538,620,366,969/4,830,780.75
  6. Step 6: Final answer
    x = 22,468,132.17

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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.