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Finding the Third Proportional to 7,084,542 and 14,673,186

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Solution

The third proportional to 7,084,542 and 14,673,186 is: 30,390,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084,542 : 14,673,186 = 14,673,186 : x
  2. Step 2: Convert to fraction form
    7,084,542/14,673,186 = 14,673,186/x
  3. Step 3: Cross multiply
    7,084,542x = 14,673,186 × 14,673,186
  4. Step 4: Simplify right side
    7,084,542x = 215,302,387,390,596
  5. Step 5: Solve for x
    x = 215,302,387,390,596/7,084,542
  6. Step 6: Final answer
    x = 30,390,445.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.