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Finding the Third Proportional to 1,015,233,724 and 1,369,788,664

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Solution

The third proportional to 1,015,233,724 and 1,369,788,664 is: 1,848,166,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,233,724 : 1,369,788,664 = 1,369,788,664 : x
  2. Step 2: Convert to fraction form
    1,015,233,724/1,369,788,664 = 1,369,788,664/x
  3. Step 3: Cross multiply
    1,015,233,724x = 1,369,788,664 × 1,369,788,664
  4. Step 4: Simplify right side
    1,015,233,724x = 1,876,320,984,022,904,832
  5. Step 5: Solve for x
    x = 1,876,320,984,022,904,832/1,015,233,724
  6. Step 6: Final answer
    x = 1,848,166,525.27

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Why These Related Problems?

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