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Finding the Third Proportional to 22,864,902.75 and 49,045,297.50

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Solution

The third proportional to 22,864,902.75 and 49,045,297.50 is: 105,202,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864,902.75 : 49,045,297.50 = 49,045,297.50 : x
  2. Step 2: Convert to fraction form
    22,864,902.75/49,045,297.50 = 49,045,297.50/x
  3. Step 3: Cross multiply
    22,864,902.75x = 49,045,297.50 × 49,045,297.50
  4. Step 4: Simplify right side
    22,864,902.75x = 2,405,441,206,863,506
  5. Step 5: Solve for x
    x = 2,405,441,206,863,506/22,864,902.75
  6. Step 6: Final answer
    x = 105,202,337.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.