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Finding the Third Proportional to 6,466,169.25 and 10,776,488.06

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Solution

The third proportional to 6,466,169.25 and 10,776,488.06 is: 17,960,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466,169.25 : 10,776,488.06 = 10,776,488.06 : x
  2. Step 2: Convert to fraction form
    6,466,169.25/10,776,488.06 = 10,776,488.06/x
  3. Step 3: Cross multiply
    6,466,169.25x = 10,776,488.06 × 10,776,488.06
  4. Step 4: Simplify right side
    6,466,169.25x = 116,132,694,961,205
  5. Step 5: Solve for x
    x = 116,132,694,961,205/6,466,169.25
  6. Step 6: Final answer
    x = 17,960,045.66

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.