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Finding the Third Proportional to 9,101,083.50 and 19,552,914

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Solution

The third proportional to 9,101,083.50 and 19,552,914 is: 42,007,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101,083.50 : 19,552,914 = 19,552,914 : x
  2. Step 2: Convert to fraction form
    9,101,083.50/19,552,914 = 19,552,914/x
  3. Step 3: Cross multiply
    9,101,083.50x = 19,552,914 × 19,552,914
  4. Step 4: Simplify right side
    9,101,083.50x = 382,316,445,891,396
  5. Step 5: Solve for x
    x = 382,316,445,891,396/9,101,083.50
  6. Step 6: Final answer
    x = 42,007,794.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.