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Finding the Third Proportional to 6,095,784 and 8,358,966

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Solution

The third proportional to 6,095,784 and 8,358,966 is: 11,462,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095,784 : 8,358,966 = 8,358,966 : x
  2. Step 2: Convert to fraction form
    6,095,784/8,358,966 = 8,358,966/x
  3. Step 3: Cross multiply
    6,095,784x = 8,358,966 × 8,358,966
  4. Step 4: Simplify right side
    6,095,784x = 69,872,312,589,156
  5. Step 5: Solve for x
    x = 69,872,312,589,156/6,095,784
  6. Step 6: Final answer
    x = 11,462,399.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.