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Finding the Third Proportional to 4,294,285 and 9,360,169

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Solution

The third proportional to 4,294,285 and 9,360,169 is: 20,402,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294,285 : 9,360,169 = 9,360,169 : x
  2. Step 2: Convert to fraction form
    4,294,285/9,360,169 = 9,360,169/x
  3. Step 3: Cross multiply
    4,294,285x = 9,360,169 × 9,360,169
  4. Step 4: Simplify right side
    4,294,285x = 87,612,763,708,561
  5. Step 5: Solve for x
    x = 87,612,763,708,561/4,294,285
  6. Step 6: Final answer
    x = 20,402,177.24

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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.