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Finding the Third Proportional to 619,898,832,378 and 962,485,784,651.25

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Solution

The third proportional to 619,898,832,378 and 962,485,784,651.25 is: 1,494,403,340,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,898,832,378 : 962,485,784,651.25 = 962,485,784,651.25 : x
  2. Step 2: Convert to fraction form
    619,898,832,378/962,485,784,651.25 = 962,485,784,651.25/x
  3. Step 3: Cross multiply
    619,898,832,378x = 962,485,784,651.25 × 962,485,784,651.25
  4. Step 4: Simplify right side
    619,898,832,378x = 926,378,885,655,732,343,013,376
  5. Step 5: Solve for x
    x = 926,378,885,655,732,343,013,376/619,898,832,378
  6. Step 6: Final answer
    x = 1,494,403,340,141.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.