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Finding the Third Proportional to 1,015,504,230 and 2,211,290,547

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Solution

The third proportional to 1,015,504,230 and 2,211,290,547 is: 4,815,150,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,504,230 : 2,211,290,547 = 2,211,290,547 : x
  2. Step 2: Convert to fraction form
    1,015,504,230/2,211,290,547 = 2,211,290,547/x
  3. Step 3: Cross multiply
    1,015,504,230x = 2,211,290,547 × 2,211,290,547
  4. Step 4: Simplify right side
    1,015,504,230x = 4,889,805,883,251,559,424
  5. Step 5: Solve for x
    x = 4,889,805,883,251,559,424/1,015,504,230
  6. Step 6: Final answer
    x = 4,815,150,679.63

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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.