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Finding the Third Proportional to 4,294,701 and 9,345,087

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Solution

The third proportional to 4,294,701 and 9,345,087 is: 20,334,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294,701 : 9,345,087 = 9,345,087 : x
  2. Step 2: Convert to fraction form
    4,294,701/9,345,087 = 9,345,087/x
  3. Step 3: Cross multiply
    4,294,701x = 9,345,087 × 9,345,087
  4. Step 4: Simplify right side
    4,294,701x = 87,330,651,037,569
  5. Step 5: Solve for x
    x = 87,330,651,037,569/4,294,701
  6. Step 6: Final answer
    x = 20,334,512.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.