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Finding the Third Proportional to 7,311,196.53 and 10,220,974.40

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Solution

The third proportional to 7,311,196.53 and 10,220,974.40 is: 14,288,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311,196.53 : 10,220,974.40 = 10,220,974.40 : x
  2. Step 2: Convert to fraction form
    7,311,196.53/10,220,974.40 = 10,220,974.40/x
  3. Step 3: Cross multiply
    7,311,196.53x = 10,220,974.40 × 10,220,974.40
  4. Step 4: Simplify right side
    7,311,196.53x = 104,468,317,693,448.16
  5. Step 5: Solve for x
    x = 104,468,317,693,448.16/7,311,196.53
  6. Step 6: Final answer
    x = 14,288,812.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.