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Finding the Third Proportional to 35,568,862 and 82,336,789

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Solution

The third proportional to 35,568,862 and 82,336,789 is: 190,597,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,568,862 : 82,336,789 = 82,336,789 : x
  2. Step 2: Convert to fraction form
    35,568,862/82,336,789 = 82,336,789/x
  3. Step 3: Cross multiply
    35,568,862x = 82,336,789 × 82,336,789
  4. Step 4: Simplify right side
    35,568,862x = 6,779,346,822,830,521
  5. Step 5: Solve for x
    x = 6,779,346,822,830,521/35,568,862
  6. Step 6: Final answer
    x = 190,597,799.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.