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Finding the Third Proportional to 14,944,960 and 24,403,769.50

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Solution

The third proportional to 14,944,960 and 24,403,769.50 is: 39,849,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944,960 : 24,403,769.50 = 24,403,769.50 : x
  2. Step 2: Convert to fraction form
    14,944,960/24,403,769.50 = 24,403,769.50/x
  3. Step 3: Cross multiply
    14,944,960x = 24,403,769.50 × 24,403,769.50
  4. Step 4: Simplify right side
    14,944,960x = 595,543,965,809,130.25
  5. Step 5: Solve for x
    x = 595,543,965,809,130.25/14,944,960
  6. Step 6: Final answer
    x = 39,849,150.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.