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Finding the Third Proportional to 4,832,420 and 10,421,041

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Solution

The third proportional to 4,832,420 and 10,421,041 is: 22,472,818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832,420 : 10,421,041 = 10,421,041 : x
  2. Step 2: Convert to fraction form
    4,832,420/10,421,041 = 10,421,041/x
  3. Step 3: Cross multiply
    4,832,420x = 10,421,041 × 10,421,041
  4. Step 4: Simplify right side
    4,832,420x = 108,598,095,523,681
  5. Step 5: Solve for x
    x = 108,598,095,523,681/4,832,420
  6. Step 6: Final answer
    x = 22,472,818.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.