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Finding the Third Proportional to 3,098,556 and 6,711,664

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Solution

The third proportional to 3,098,556 and 6,711,664 is: 14,537,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,556 : 6,711,664 = 6,711,664 : x
  2. Step 2: Convert to fraction form
    3,098,556/6,711,664 = 6,711,664/x
  3. Step 3: Cross multiply
    3,098,556x = 6,711,664 × 6,711,664
  4. Step 4: Simplify right side
    3,098,556x = 45,046,433,648,896
  5. Step 5: Solve for x
    x = 45,046,433,648,896/3,098,556
  6. Step 6: Final answer
    x = 14,537,879.47

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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.