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Finding the Third Proportional to 3,368,009,704,832 and 7,272,821,745,664

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Solution

The third proportional to 3,368,009,704,832 and 7,272,821,745,664 is: 15,704,805,145,993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368,009,704,832 : 7,272,821,745,664 = 7,272,821,745,664 : x
  2. Step 2: Convert to fraction form
    3,368,009,704,832/7,272,821,745,664 = 7,272,821,745,664/x
  3. Step 3: Cross multiply
    3,368,009,704,832x = 7,272,821,745,664 × 7,272,821,745,664
  4. Step 4: Simplify right side
    3,368,009,704,832x = 52,893,936,144,203,156,291,584,000
  5. Step 5: Solve for x
    x = 52,893,936,144,203,156,291,584,000/3,368,009,704,832
  6. Step 6: Final answer
    x = 15,704,805,145,993.95

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