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Finding the Third Proportional to 405,151,569.84 and 937,867,489.59

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Solution

The third proportional to 405,151,569.84 and 937,867,489.59 is: 2,171,028,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,151,569.84 : 937,867,489.59 = 937,867,489.59 : x
  2. Step 2: Convert to fraction form
    405,151,569.84/937,867,489.59 = 937,867,489.59/x
  3. Step 3: Cross multiply
    405,151,569.84x = 937,867,489.59 × 937,867,489.59
  4. Step 4: Simplify right side
    405,151,569.84x = 879,595,428,036,882,816
  5. Step 5: Solve for x
    x = 879,595,428,036,882,816/405,151,569.84
  6. Step 6: Final answer
    x = 2,171,028,063.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.