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Finding the Third Proportional to 8,130,796 and 17,678,714

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Solution

The third proportional to 8,130,796 and 17,678,714 is: 38,438,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130,796 : 17,678,714 = 17,678,714 : x
  2. Step 2: Convert to fraction form
    8,130,796/17,678,714 = 17,678,714/x
  3. Step 3: Cross multiply
    8,130,796x = 17,678,714 × 17,678,714
  4. Step 4: Simplify right side
    8,130,796x = 312,536,928,693,796
  5. Step 5: Solve for x
    x = 312,536,928,693,796/8,130,796
  6. Step 6: Final answer
    x = 38,438,663.16

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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.