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Finding the Third Proportional to 10,497,853.13 and 15,011,947.69

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Solution

The third proportional to 10,497,853.13 and 15,011,947.69 is: 21,467,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497,853.13 : 15,011,947.69 = 15,011,947.69 : x
  2. Step 2: Convert to fraction form
    10,497,853.13/15,011,947.69 = 15,011,947.69/x
  3. Step 3: Cross multiply
    10,497,853.13x = 15,011,947.69 × 15,011,947.69
  4. Step 4: Simplify right side
    10,497,853.13x = 225,358,573,372,236.59
  5. Step 5: Solve for x
    x = 225,358,573,372,236.59/10,497,853.13
  6. Step 6: Final answer
    x = 21,467,110.53

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.