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Finding the Third Proportional to 1,015,504,221 and 2,211,290,518

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Solution

The third proportional to 1,015,504,221 and 2,211,290,518 is: 4,815,150,596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,504,221 : 2,211,290,518 = 2,211,290,518 : x
  2. Step 2: Convert to fraction form
    1,015,504,221/2,211,290,518 = 2,211,290,518/x
  3. Step 3: Cross multiply
    1,015,504,221x = 2,211,290,518 × 2,211,290,518
  4. Step 4: Simplify right side
    1,015,504,221x = 4,889,805,754,996,708,352
  5. Step 5: Solve for x
    x = 4,889,805,754,996,708,352/1,015,504,221
  6. Step 6: Final answer
    x = 4,815,150,596.01

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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.