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Finding the Third Proportional to 1,212,927,351 and 1,863,204,772.50

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Solution

The third proportional to 1,212,927,351 and 1,863,204,772.50 is: 2,862,110,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,927,351 : 1,863,204,772.50 = 1,863,204,772.50 : x
  2. Step 2: Convert to fraction form
    1,212,927,351/1,863,204,772.50 = 1,863,204,772.50/x
  3. Step 3: Cross multiply
    1,212,927,351x = 1,863,204,772.50 × 1,863,204,772.50
  4. Step 4: Simplify right side
    1,212,927,351x = 3,471,532,024,266,776,576
  5. Step 5: Solve for x
    x = 3,471,532,024,266,776,576/1,212,927,351
  6. Step 6: Final answer
    x = 2,862,110,431.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.