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Finding the Third Proportional to 6,965,988.19 and 10,244,233.69

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Solution

The third proportional to 6,965,988.19 and 10,244,233.69 is: 15,065,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,988.19 : 10,244,233.69 = 10,244,233.69 : x
  2. Step 2: Convert to fraction form
    6,965,988.19/10,244,233.69 = 10,244,233.69/x
  3. Step 3: Cross multiply
    6,965,988.19x = 10,244,233.69 × 10,244,233.69
  4. Step 4: Simplify right side
    6,965,988.19x = 104,944,323,844,109.84
  5. Step 5: Solve for x
    x = 104,944,323,844,109.84/6,965,988.19
  6. Step 6: Final answer
    x = 15,065,245.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.