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Finding the Third Proportional to 9,035,398.13 and 13,764,826.13

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Solution

The third proportional to 9,035,398.13 and 13,764,826.13 is: 20,969,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035,398.13 : 13,764,826.13 = 13,764,826.13 : x
  2. Step 2: Convert to fraction form
    9,035,398.13/13,764,826.13 = 13,764,826.13/x
  3. Step 3: Cross multiply
    9,035,398.13x = 13,764,826.13 × 13,764,826.13
  4. Step 4: Simplify right side
    9,035,398.13x = 189,470,438,251,482.50
  5. Step 5: Solve for x
    x = 189,470,438,251,482.50/9,035,398.13
  6. Step 6: Final answer
    x = 20,969,794.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.