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Finding the Third Proportional to 8,130,794 and 17,678,710

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Solution

The third proportional to 8,130,794 and 17,678,710 is: 38,438,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130,794 : 17,678,710 = 17,678,710 : x
  2. Step 2: Convert to fraction form
    8,130,794/17,678,710 = 17,678,710/x
  3. Step 3: Cross multiply
    8,130,794x = 17,678,710 × 17,678,710
  4. Step 4: Simplify right side
    8,130,794x = 312,536,787,264,100
  5. Step 5: Solve for x
    x = 312,536,787,264,100/8,130,794
  6. Step 6: Final answer
    x = 38,438,655.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.