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Finding the Third Proportional to 3,541,436 and 7,827,142

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Solution

The third proportional to 3,541,436 and 7,827,142 is: 17,299,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541,436 : 7,827,142 = 7,827,142 : x
  2. Step 2: Convert to fraction form
    3,541,436/7,827,142 = 7,827,142/x
  3. Step 3: Cross multiply
    3,541,436x = 7,827,142 × 7,827,142
  4. Step 4: Simplify right side
    3,541,436x = 61,264,151,888,164
  5. Step 5: Solve for x
    x = 61,264,151,888,164/3,541,436
  6. Step 6: Final answer
    x = 17,299,240.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.