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Finding the Third Proportional to 603,747,615 and 1,304,433,216

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Solution

The third proportional to 603,747,615 and 1,304,433,216 is: 2,818,306,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,747,615 : 1,304,433,216 = 1,304,433,216 : x
  2. Step 2: Convert to fraction form
    603,747,615/1,304,433,216 = 1,304,433,216/x
  3. Step 3: Cross multiply
    603,747,615x = 1,304,433,216 × 1,304,433,216
  4. Step 4: Simplify right side
    603,747,615x = 1,701,546,015,004,102,656
  5. Step 5: Solve for x
    x = 1,701,546,015,004,102,656/603,747,615
  6. Step 6: Final answer
    x = 2,818,306,810.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.