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Finding the Third Proportional to 1,015,505,324 and 2,211,292,735

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Solution

The third proportional to 1,015,505,324 and 2,211,292,735 is: 4,815,155,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,505,324 : 2,211,292,735 = 2,211,292,735 : x
  2. Step 2: Convert to fraction form
    1,015,505,324/2,211,292,735 = 2,211,292,735/x
  3. Step 3: Cross multiply
    1,015,505,324x = 2,211,292,735 × 2,211,292,735
  4. Step 4: Simplify right side
    1,015,505,324x = 4,889,815,559,863,780,352
  5. Step 5: Solve for x
    x = 4,889,815,559,863,780,352/1,015,505,324
  6. Step 6: Final answer
    x = 4,815,155,021.15

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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.