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Finding the Third Proportional to 3,450,972.09 and 5,109,731.86

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Solution

The third proportional to 3,450,972.09 and 5,109,731.86 is: 7,565,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450,972.09 : 5,109,731.86 = 5,109,731.86 : x
  2. Step 2: Convert to fraction form
    3,450,972.09/5,109,731.86 = 5,109,731.86/x
  3. Step 3: Cross multiply
    3,450,972.09x = 5,109,731.86 × 5,109,731.86
  4. Step 4: Simplify right side
    3,450,972.09x = 26,109,359,674,711.89
  5. Step 5: Solve for x
    x = 26,109,359,674,711.89/3,450,972.09
  6. Step 6: Final answer
    x = 7,565,798.55

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.