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Finding the Third Proportional to 7,140,600 and 15,698,200

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Solution

The third proportional to 7,140,600 and 15,698,200 is: 34,511,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140,600 : 15,698,200 = 15,698,200 : x
  2. Step 2: Convert to fraction form
    7,140,600/15,698,200 = 15,698,200/x
  3. Step 3: Cross multiply
    7,140,600x = 15,698,200 × 15,698,200
  4. Step 4: Simplify right side
    7,140,600x = 246,433,483,240,000
  5. Step 5: Solve for x
    x = 246,433,483,240,000/7,140,600
  6. Step 6: Final answer
    x = 34,511,593.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.