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Finding the Third Proportional to 7,669,451.53 and 17,041,412.81

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Solution

The third proportional to 7,669,451.53 and 17,041,412.81 is: 37,865,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,451.53 : 17,041,412.81 = 17,041,412.81 : x
  2. Step 2: Convert to fraction form
    7,669,451.53/17,041,412.81 = 17,041,412.81/x
  3. Step 3: Cross multiply
    7,669,451.53x = 17,041,412.81 × 17,041,412.81
  4. Step 4: Simplify right side
    7,669,451.53x = 290,409,750,646,039.19
  5. Step 5: Solve for x
    x = 290,409,750,646,039.19/7,669,451.53
  6. Step 6: Final answer
    x = 37,865,778.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.