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Finding the Third Proportional to 2,235,535,401,300 and 4,862,760,239,400

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Solution

The third proportional to 2,235,535,401,300 and 4,862,760,239,400 is: 10,577,527,482,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235,535,401,300 : 4,862,760,239,400 = 4,862,760,239,400 : x
  2. Step 2: Convert to fraction form
    2,235,535,401,300/4,862,760,239,400 = 4,862,760,239,400/x
  3. Step 3: Cross multiply
    2,235,535,401,300x = 4,862,760,239,400 × 4,862,760,239,400
  4. Step 4: Simplify right side
    2,235,535,401,300x = 23,646,437,145,889,546,499,522,560
  5. Step 5: Solve for x
    x = 23,646,437,145,889,546,499,522,560/2,235,535,401,300
  6. Step 6: Final answer
    x = 10,577,527,482,740.27

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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.