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Finding the Third Proportional to 9,208,032 and 14,444,685

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Solution

The third proportional to 9,208,032 and 14,444,685 is: 22,659,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208,032 : 14,444,685 = 14,444,685 : x
  2. Step 2: Convert to fraction form
    9,208,032/14,444,685 = 14,444,685/x
  3. Step 3: Cross multiply
    9,208,032x = 14,444,685 × 14,444,685
  4. Step 4: Simplify right side
    9,208,032x = 208,648,924,749,225
  5. Step 5: Solve for x
    x = 208,648,924,749,225/9,208,032
  6. Step 6: Final answer
    x = 22,659,448.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.