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Finding the Third Proportional to 10,261,831.50 and 22,297,869

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Solution

The third proportional to 10,261,831.50 and 22,297,869 is: 48,450,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261,831.50 : 22,297,869 = 22,297,869 : x
  2. Step 2: Convert to fraction form
    10,261,831.50/22,297,869 = 22,297,869/x
  3. Step 3: Cross multiply
    10,261,831.50x = 22,297,869 × 22,297,869
  4. Step 4: Simplify right side
    10,261,831.50x = 497,194,961,941,161
  5. Step 5: Solve for x
    x = 497,194,961,941,161/10,261,831.50
  6. Step 6: Final answer
    x = 48,450,899.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.