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Finding the Third Proportional to 405,163,851.75 and 871,753,428

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Solution

The third proportional to 405,163,851.75 and 871,753,428 is: 1,875,670,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,163,851.75 : 871,753,428 = 871,753,428 : x
  2. Step 2: Convert to fraction form
    405,163,851.75/871,753,428 = 871,753,428/x
  3. Step 3: Cross multiply
    405,163,851.75x = 871,753,428 × 871,753,428
  4. Step 4: Simplify right side
    405,163,851.75x = 759,954,039,229,751,168
  5. Step 5: Solve for x
    x = 759,954,039,229,751,168/405,163,851.75
  6. Step 6: Final answer
    x = 1,875,670,882.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.