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Finding the Third Proportional to 14,468,166 and 22,382,329

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Solution

The third proportional to 14,468,166 and 22,382,329 is: 34,625,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468,166 : 22,382,329 = 22,382,329 : x
  2. Step 2: Convert to fraction form
    14,468,166/22,382,329 = 22,382,329/x
  3. Step 3: Cross multiply
    14,468,166x = 22,382,329 × 22,382,329
  4. Step 4: Simplify right side
    14,468,166x = 500,968,651,464,241
  5. Step 5: Solve for x
    x = 500,968,651,464,241/14,468,166
  6. Step 6: Final answer
    x = 34,625,580.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.