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Finding the Third Proportional to 4,851,219 and 10,686,778

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Solution

The third proportional to 4,851,219 and 10,686,778 is: 23,541,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851,219 : 10,686,778 = 10,686,778 : x
  2. Step 2: Convert to fraction form
    4,851,219/10,686,778 = 10,686,778/x
  3. Step 3: Cross multiply
    4,851,219x = 10,686,778 × 10,686,778
  4. Step 4: Simplify right side
    4,851,219x = 114,207,224,021,284
  5. Step 5: Solve for x
    x = 114,207,224,021,284/4,851,219
  6. Step 6: Final answer
    x = 23,541,964.20

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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.