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Finding the Third Proportional to 4,662,746.25 and 10,034,080.50

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Solution

The third proportional to 4,662,746.25 and 10,034,080.50 is: 21,593,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662,746.25 : 10,034,080.50 = 10,034,080.50 : x
  2. Step 2: Convert to fraction form
    4,662,746.25/10,034,080.50 = 10,034,080.50/x
  3. Step 3: Cross multiply
    4,662,746.25x = 10,034,080.50 × 10,034,080.50
  4. Step 4: Simplify right side
    4,662,746.25x = 100,682,771,480,480.25
  5. Step 5: Solve for x
    x = 100,682,771,480,480.25/4,662,746.25
  6. Step 6: Final answer
    x = 21,593,019.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.