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Finding the Third Proportional to 2,842,922 and 6,711,184

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Solution

The third proportional to 2,842,922 and 6,711,184 is: 15,842,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,922 : 6,711,184 = 6,711,184 : x
  2. Step 2: Convert to fraction form
    2,842,922/6,711,184 = 6,711,184/x
  3. Step 3: Cross multiply
    2,842,922x = 6,711,184 × 6,711,184
  4. Step 4: Simplify right side
    2,842,922x = 45,039,990,681,856
  5. Step 5: Solve for x
    x = 45,039,990,681,856/2,842,922
  6. Step 6: Final answer
    x = 15,842,851.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.