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Finding the Third Proportional to 9,199,597.50 and 20,009,920.50

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Solution

The third proportional to 9,199,597.50 and 20,009,920.50 is: 43,523,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199,597.50 : 20,009,920.50 = 20,009,920.50 : x
  2. Step 2: Convert to fraction form
    9,199,597.50/20,009,920.50 = 20,009,920.50/x
  3. Step 3: Cross multiply
    9,199,597.50x = 20,009,920.50 × 20,009,920.50
  4. Step 4: Simplify right side
    9,199,597.50x = 400,396,918,416,320.25
  5. Step 5: Solve for x
    x = 400,396,918,416,320.25/9,199,597.50
  6. Step 6: Final answer
    x = 43,523,308.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.