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Finding the Third Proportional to 2,776,076 and 6,687,679

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Solution

The third proportional to 2,776,076 and 6,687,679 is: 16,110,888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776,076 : 6,687,679 = 6,687,679 : x
  2. Step 2: Convert to fraction form
    2,776,076/6,687,679 = 6,687,679/x
  3. Step 3: Cross multiply
    2,776,076x = 6,687,679 × 6,687,679
  4. Step 4: Simplify right side
    2,776,076x = 44,725,050,407,041
  5. Step 5: Solve for x
    x = 44,725,050,407,041/2,776,076
  6. Step 6: Final answer
    x = 16,110,888.32

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.