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Finding the Third Proportional to 4,100,838 and 9,581,409

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Solution

The third proportional to 4,100,838 and 9,581,409 is: 22,386,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100,838 : 9,581,409 = 9,581,409 : x
  2. Step 2: Convert to fraction form
    4,100,838/9,581,409 = 9,581,409/x
  3. Step 3: Cross multiply
    4,100,838x = 9,581,409 × 9,581,409
  4. Step 4: Simplify right side
    4,100,838x = 91,803,398,425,281
  5. Step 5: Solve for x
    x = 91,803,398,425,281/4,100,838
  6. Step 6: Final answer
    x = 22,386,497.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.