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Finding the Third Proportional to 14,944,956 and 24,403,763.50

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Solution

The third proportional to 14,944,956 and 24,403,763.50 is: 39,849,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944,956 : 24,403,763.50 = 24,403,763.50 : x
  2. Step 2: Convert to fraction form
    14,944,956/24,403,763.50 = 24,403,763.50/x
  3. Step 3: Cross multiply
    14,944,956x = 24,403,763.50 × 24,403,763.50
  4. Step 4: Simplify right side
    14,944,956x = 595,543,672,963,932.25
  5. Step 5: Solve for x
    x = 595,543,672,963,932.25/14,944,956
  6. Step 6: Final answer
    x = 39,849,141.94

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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.