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Finding the Third Proportional to 8,834,116 and 18,686,777

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Solution

The third proportional to 8,834,116 and 18,686,777 is: 39,528,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834,116 : 18,686,777 = 18,686,777 : x
  2. Step 2: Convert to fraction form
    8,834,116/18,686,777 = 18,686,777/x
  3. Step 3: Cross multiply
    8,834,116x = 18,686,777 × 18,686,777
  4. Step 4: Simplify right side
    8,834,116x = 349,195,634,647,729
  5. Step 5: Solve for x
    x = 349,195,634,647,729/8,834,116
  6. Step 6: Final answer
    x = 39,528,078.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.