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Finding the Third Proportional to 24,945,747 and 37,316,902.50

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Solution

The third proportional to 24,945,747 and 37,316,902.50 is: 55,823,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,945,747 : 37,316,902.50 = 37,316,902.50 : x
  2. Step 2: Convert to fraction form
    24,945,747/37,316,902.50 = 37,316,902.50/x
  3. Step 3: Cross multiply
    24,945,747x = 37,316,902.50 × 37,316,902.50
  4. Step 4: Simplify right side
    24,945,747x = 1,392,551,212,194,506.25
  5. Step 5: Solve for x
    x = 1,392,551,212,194,506.25/24,945,747
  6. Step 6: Final answer
    x = 55,823,191.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.