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Finding the Third Proportional to 7,761,233 and 16,326,822

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Solution

The third proportional to 7,761,233 and 16,326,822 is: 34,345,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761,233 : 16,326,822 = 16,326,822 : x
  2. Step 2: Convert to fraction form
    7,761,233/16,326,822 = 16,326,822/x
  3. Step 3: Cross multiply
    7,761,233x = 16,326,822 × 16,326,822
  4. Step 4: Simplify right side
    7,761,233x = 266,565,116,619,684
  5. Step 5: Solve for x
    x = 266,565,116,619,684/7,761,233
  6. Step 6: Final answer
    x = 34,345,717.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.