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Finding the Third Proportional to 10,258,234.50 and 21,982,545.19

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Solution

The third proportional to 10,258,234.50 and 21,982,545.19 is: 47,106,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258,234.50 : 21,982,545.19 = 21,982,545.19 : x
  2. Step 2: Convert to fraction form
    10,258,234.50/21,982,545.19 = 21,982,545.19/x
  3. Step 3: Cross multiply
    10,258,234.50x = 21,982,545.19 × 21,982,545.19
  4. Step 4: Simplify right side
    10,258,234.50x = 483,232,292,920,479.44
  5. Step 5: Solve for x
    x = 483,232,292,920,479.44/10,258,234.50
  6. Step 6: Final answer
    x = 47,106,769.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.