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Finding the Third Proportional to 9,564,291 and 20,493,052

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Solution

The third proportional to 9,564,291 and 20,493,052 is: 43,909,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564,291 : 20,493,052 = 20,493,052 : x
  2. Step 2: Convert to fraction form
    9,564,291/20,493,052 = 20,493,052/x
  3. Step 3: Cross multiply
    9,564,291x = 20,493,052 × 20,493,052
  4. Step 4: Simplify right side
    9,564,291x = 419,965,180,274,704
  5. Step 5: Solve for x
    x = 419,965,180,274,704/9,564,291
  6. Step 6: Final answer
    x = 43,909,703.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.