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Finding the Third Proportional to 218,511,930 and 477,056,895

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Solution

The third proportional to 218,511,930 and 477,056,895 is: 1,041,514,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,511,930 : 477,056,895 = 477,056,895 : x
  2. Step 2: Convert to fraction form
    218,511,930/477,056,895 = 477,056,895/x
  3. Step 3: Cross multiply
    218,511,930x = 477,056,895 × 477,056,895
  4. Step 4: Simplify right side
    218,511,930x = 227,583,281,067,041,024
  5. Step 5: Solve for x
    x = 227,583,281,067,041,024/218,511,930
  6. Step 6: Final answer
    x = 1,041,514,214.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.