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Finding the Third Proportional to 362,339,281,986 and 540,366,759,471

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Solution

The third proportional to 362,339,281,986 and 540,366,759,471 is: 805,864,142,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,339,281,986 : 540,366,759,471 = 540,366,759,471 : x
  2. Step 2: Convert to fraction form
    362,339,281,986/540,366,759,471 = 540,366,759,471/x
  3. Step 3: Cross multiply
    362,339,281,986x = 540,366,759,471 × 540,366,759,471
  4. Step 4: Simplify right side
    362,339,281,986x = 291,996,234,741,189,579,898,880
  5. Step 5: Solve for x
    x = 291,996,234,741,189,579,898,880/362,339,281,986
  6. Step 6: Final answer
    x = 805,864,142,415.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.