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Finding the Third Proportional to 7,140,566 and 15,698,126

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Solution

The third proportional to 7,140,566 and 15,698,126 is: 34,511,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140,566 : 15,698,126 = 15,698,126 : x
  2. Step 2: Convert to fraction form
    7,140,566/15,698,126 = 15,698,126/x
  3. Step 3: Cross multiply
    7,140,566x = 15,698,126 × 15,698,126
  4. Step 4: Simplify right side
    7,140,566x = 246,431,159,911,876
  5. Step 5: Solve for x
    x = 246,431,159,911,876/7,140,566
  6. Step 6: Final answer
    x = 34,511,432.27

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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.