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Finding the Third Proportional to 10,850,415.75 and 14,776,435.13

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Solution

The third proportional to 10,850,415.75 and 14,776,435.13 is: 20,123,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850,415.75 : 14,776,435.13 = 14,776,435.13 : x
  2. Step 2: Convert to fraction form
    10,850,415.75/14,776,435.13 = 14,776,435.13/x
  3. Step 3: Cross multiply
    10,850,415.75x = 14,776,435.13 × 14,776,435.13
  4. Step 4: Simplify right side
    10,850,415.75x = 218,343,035,003,333.75
  5. Step 5: Solve for x
    x = 218,343,035,003,333.75/10,850,415.75
  6. Step 6: Final answer
    x = 20,123,010.95

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.