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Finding the Third Proportional to 10,648,814.50 and 23,323,770

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Solution

The third proportional to 10,648,814.50 and 23,323,770 is: 51,085,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648,814.50 : 23,323,770 = 23,323,770 : x
  2. Step 2: Convert to fraction form
    10,648,814.50/23,323,770 = 23,323,770/x
  3. Step 3: Cross multiply
    10,648,814.50x = 23,323,770 × 23,323,770
  4. Step 4: Simplify right side
    10,648,814.50x = 543,998,247,012,900
  5. Step 5: Solve for x
    x = 543,998,247,012,900/10,648,814.50
  6. Step 6: Final answer
    x = 51,085,334.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.