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Finding the Third Proportional to 7,709,023.13 and 10,846,396.13

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Solution

The third proportional to 7,709,023.13 and 10,846,396.13 is: 15,260,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709,023.13 : 10,846,396.13 = 10,846,396.13 : x
  2. Step 2: Convert to fraction form
    7,709,023.13/10,846,396.13 = 10,846,396.13/x
  3. Step 3: Cross multiply
    7,709,023.13x = 10,846,396.13 × 10,846,396.13
  4. Step 4: Simplify right side
    7,709,023.13x = 117,644,308,900,415.02
  5. Step 5: Solve for x
    x = 117,644,308,900,415.02/7,709,023.13
  6. Step 6: Final answer
    x = 15,260,598.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.