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Finding the Third Proportional to 8,007,828.50 and 12,409,837.50

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Solution

The third proportional to 8,007,828.50 and 12,409,837.50 is: 19,231,688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007,828.50 : 12,409,837.50 = 12,409,837.50 : x
  2. Step 2: Convert to fraction form
    8,007,828.50/12,409,837.50 = 12,409,837.50/x
  3. Step 3: Cross multiply
    8,007,828.50x = 12,409,837.50 × 12,409,837.50
  4. Step 4: Simplify right side
    8,007,828.50x = 154,004,066,776,406.25
  5. Step 5: Solve for x
    x = 154,004,066,776,406.25/8,007,828.50
  6. Step 6: Final answer
    x = 19,231,688.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.