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Finding the Third Proportional to 24,436,827 and 36,232,570.50

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Solution

The third proportional to 24,436,827 and 36,232,570.50 is: 53,722,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,436,827 : 36,232,570.50 = 36,232,570.50 : x
  2. Step 2: Convert to fraction form
    24,436,827/36,232,570.50 = 36,232,570.50/x
  3. Step 3: Cross multiply
    24,436,827x = 36,232,570.50 × 36,232,570.50
  4. Step 4: Simplify right side
    24,436,827x = 1,312,799,165,037,470.25
  5. Step 5: Solve for x
    x = 1,312,799,165,037,470.25/24,436,827
  6. Step 6: Final answer
    x = 53,722,161.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.