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Finding the Third Proportional to 10,232,715 and 22,168,327.50

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Solution

The third proportional to 10,232,715 and 22,168,327.50 is: 48,025,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232,715 : 22,168,327.50 = 22,168,327.50 : x
  2. Step 2: Convert to fraction form
    10,232,715/22,168,327.50 = 22,168,327.50/x
  3. Step 3: Cross multiply
    10,232,715x = 22,168,327.50 × 22,168,327.50
  4. Step 4: Simplify right side
    10,232,715x = 491,434,744,147,256.25
  5. Step 5: Solve for x
    x = 491,434,744,147,256.25/10,232,715
  6. Step 6: Final answer
    x = 48,025,841.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.