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Finding the Third Proportional to 919,837,710,048 and 2,001,647,439,024

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Solution

The third proportional to 919,837,710,048 and 2,001,647,439,024 is: 4,355,760,180,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,837,710,048 : 2,001,647,439,024 = 2,001,647,439,024 : x
  2. Step 2: Convert to fraction form
    919,837,710,048/2,001,647,439,024 = 2,001,647,439,024/x
  3. Step 3: Cross multiply
    919,837,710,048x = 2,001,647,439,024 × 2,001,647,439,024
  4. Step 4: Simplify right side
    919,837,710,048x = 4,006,592,470,151,337,611,362,304
  5. Step 5: Solve for x
    x = 4,006,592,470,151,337,611,362,304/919,837,710,048
  6. Step 6: Final answer
    x = 4,355,760,180,719.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.