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Finding the Third Proportional to 369,106,800.75 and 871,311,400.88

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Solution

The third proportional to 369,106,800.75 and 871,311,400.88 is: 2,056,812,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,106,800.75 : 871,311,400.88 = 871,311,400.88 : x
  2. Step 2: Convert to fraction form
    369,106,800.75/871,311,400.88 = 871,311,400.88/x
  3. Step 3: Cross multiply
    369,106,800.75x = 871,311,400.88 × 871,311,400.88
  4. Step 4: Simplify right side
    369,106,800.75x = 759,183,557,294,754,944
  5. Step 5: Solve for x
    x = 759,183,557,294,754,944/369,106,800.75
  6. Step 6: Final answer
    x = 2,056,812,705.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.