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Finding the Third Proportional to 6,900,796.13 and 10,447,908.19

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Solution

The third proportional to 6,900,796.13 and 10,447,908.19 is: 15,818,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900,796.13 : 10,447,908.19 = 10,447,908.19 : x
  2. Step 2: Convert to fraction form
    6,900,796.13/10,447,908.19 = 10,447,908.19/x
  3. Step 3: Cross multiply
    6,900,796.13x = 10,447,908.19 × 10,447,908.19
  4. Step 4: Simplify right side
    6,900,796.13x = 109,158,785,494,429.53
  5. Step 5: Solve for x
    x = 109,158,785,494,429.53/6,900,796.13
  6. Step 6: Final answer
    x = 15,818,288.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.