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Finding the Third Proportional to 10,497,876 and 15,011,977.50

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Solution

The third proportional to 10,497,876 and 15,011,977.50 is: 21,467,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497,876 : 15,011,977.50 = 15,011,977.50 : x
  2. Step 2: Convert to fraction form
    10,497,876/15,011,977.50 = 15,011,977.50/x
  3. Step 3: Cross multiply
    10,497,876x = 15,011,977.50 × 15,011,977.50
  4. Step 4: Simplify right side
    10,497,876x = 225,359,468,460,506.25
  5. Step 5: Solve for x
    x = 225,359,468,460,506.25/10,497,876
  6. Step 6: Final answer
    x = 21,467,149.02

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Why These Related Problems?

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