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Finding the Third Proportional to 1,015,505,250 and 2,211,292,605

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Solution

The third proportional to 1,015,505,250 and 2,211,292,605 is: 4,815,154,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,505,250 : 2,211,292,605 = 2,211,292,605 : x
  2. Step 2: Convert to fraction form
    1,015,505,250/2,211,292,605 = 2,211,292,605/x
  3. Step 3: Cross multiply
    1,015,505,250x = 2,211,292,605 × 2,211,292,605
  4. Step 4: Simplify right side
    1,015,505,250x = 4,889,814,984,927,685,632
  5. Step 5: Solve for x
    x = 4,889,814,984,927,685,632/1,015,505,250
  6. Step 6: Final answer
    x = 4,815,154,805.87

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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.