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Finding the Third Proportional to 10,486,847.25 and 22,430,844

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Solution

The third proportional to 10,486,847.25 and 22,430,844 is: 47,978,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486,847.25 : 22,430,844 = 22,430,844 : x
  2. Step 2: Convert to fraction form
    10,486,847.25/22,430,844 = 22,430,844/x
  3. Step 3: Cross multiply
    10,486,847.25x = 22,430,844 × 22,430,844
  4. Step 4: Simplify right side
    10,486,847.25x = 503,142,762,552,336
  5. Step 5: Solve for x
    x = 503,142,762,552,336/10,486,847.25
  6. Step 6: Final answer
    x = 47,978,458.21

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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.