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Finding the Third Proportional to 9,002,436,856,906 and 12,146,400,881,425

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Solution

The third proportional to 9,002,436,856,906 and 12,146,400,881,425 is: 16,388,346,479,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002,436,856,906 : 12,146,400,881,425 = 12,146,400,881,425 : x
  2. Step 2: Convert to fraction form
    9,002,436,856,906/12,146,400,881,425 = 12,146,400,881,425/x
  3. Step 3: Cross multiply
    9,002,436,856,906x = 12,146,400,881,425 × 12,146,400,881,425
  4. Step 4: Simplify right side
    9,002,436,856,906x = 147,535,054,372,282,022,804,586,496
  5. Step 5: Solve for x
    x = 147,535,054,372,282,022,804,586,496/9,002,436,856,906
  6. Step 6: Final answer
    x = 16,388,346,479,665.01

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.