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Finding the Third Proportional to 9,329,952.09 and 13,914,019.58

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Solution

The third proportional to 9,329,952.09 and 13,914,019.58 is: 20,750,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329,952.09 : 13,914,019.58 = 13,914,019.58 : x
  2. Step 2: Convert to fraction form
    9,329,952.09/13,914,019.58 = 13,914,019.58/x
  3. Step 3: Cross multiply
    9,329,952.09x = 13,914,019.58 × 13,914,019.58
  4. Step 4: Simplify right side
    9,329,952.09x = 193,599,940,929,142.12
  5. Step 5: Solve for x
    x = 193,599,940,929,142.12/9,329,952.09
  6. Step 6: Final answer
    x = 20,750,368.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.