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Finding the Third Proportional to 9,769,370 and 14,944,167

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Solution

The third proportional to 9,769,370 and 14,944,167 is: 22,860,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769,370 : 14,944,167 = 14,944,167 : x
  2. Step 2: Convert to fraction form
    9,769,370/14,944,167 = 14,944,167/x
  3. Step 3: Cross multiply
    9,769,370x = 14,944,167 × 14,944,167
  4. Step 4: Simplify right side
    9,769,370x = 223,328,127,323,889
  5. Step 5: Solve for x
    x = 223,328,127,323,889/9,769,370
  6. Step 6: Final answer
    x = 22,860,033.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.