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Finding the Third Proportional to 4,100,141 and 8,972,536

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Solution

The third proportional to 4,100,141 and 8,972,536 is: 19,635,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100,141 : 8,972,536 = 8,972,536 : x
  2. Step 2: Convert to fraction form
    4,100,141/8,972,536 = 8,972,536/x
  3. Step 3: Cross multiply
    4,100,141x = 8,972,536 × 8,972,536
  4. Step 4: Simplify right side
    4,100,141x = 80,506,402,271,296
  5. Step 5: Solve for x
    x = 80,506,402,271,296/4,100,141
  6. Step 6: Final answer
    x = 19,635,032.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.