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Finding the Third Proportional to 1,185,998,352,098 and 1,670,147,025,728

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Solution

The third proportional to 1,185,998,352,098 and 1,670,147,025,728 is: 2,351,935,044,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,998,352,098 : 1,670,147,025,728 = 1,670,147,025,728 : x
  2. Step 2: Convert to fraction form
    1,185,998,352,098/1,670,147,025,728 = 1,670,147,025,728/x
  3. Step 3: Cross multiply
    1,185,998,352,098x = 1,670,147,025,728 × 1,670,147,025,728
  4. Step 4: Simplify right side
    1,185,998,352,098x = 2,789,391,087,548,084,831,387,648
  5. Step 5: Solve for x
    x = 2,789,391,087,548,084,831,387,648/1,185,998,352,098
  6. Step 6: Final answer
    x = 2,351,935,044,946.50

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.