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Finding the Third Proportional to 20,174,409 and 41,784,324

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Solution

The third proportional to 20,174,409 and 41,784,324 is: 86,541,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174,409 : 41,784,324 = 41,784,324 : x
  2. Step 2: Convert to fraction form
    20,174,409/41,784,324 = 41,784,324/x
  3. Step 3: Cross multiply
    20,174,409x = 41,784,324 × 41,784,324
  4. Step 4: Simplify right side
    20,174,409x = 1,745,929,732,136,976
  5. Step 5: Solve for x
    x = 1,745,929,732,136,976/20,174,409
  6. Step 6: Final answer
    x = 86,541,803.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.