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Finding the Third Proportional to 9,870,241.50 and 22,847,913

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Solution

The third proportional to 9,870,241.50 and 22,847,913 is: 52,888,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870,241.50 : 22,847,913 = 22,847,913 : x
  2. Step 2: Convert to fraction form
    9,870,241.50/22,847,913 = 22,847,913/x
  3. Step 3: Cross multiply
    9,870,241.50x = 22,847,913 × 22,847,913
  4. Step 4: Simplify right side
    9,870,241.50x = 522,027,128,455,569
  5. Step 5: Solve for x
    x = 522,027,128,455,569/9,870,241.50
  6. Step 6: Final answer
    x = 52,888,992.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.