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Finding the Third Proportional to 6,468,958 and 9,708,173

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Solution

The third proportional to 6,468,958 and 9,708,173 is: 14,569,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468,958 : 9,708,173 = 9,708,173 : x
  2. Step 2: Convert to fraction form
    6,468,958/9,708,173 = 9,708,173/x
  3. Step 3: Cross multiply
    6,468,958x = 9,708,173 × 9,708,173
  4. Step 4: Simplify right side
    6,468,958x = 94,248,622,997,929
  5. Step 5: Solve for x
    x = 94,248,622,997,929/6,468,958
  6. Step 6: Final answer
    x = 14,569,366.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.