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Finding the Third Proportional to 459,051,787.69 and 996,041,674.97

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Solution

The third proportional to 459,051,787.69 and 996,041,674.97 is: 2,161,191,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,051,787.69 : 996,041,674.97 = 996,041,674.97 : x
  2. Step 2: Convert to fraction form
    459,051,787.69/996,041,674.97 = 996,041,674.97/x
  3. Step 3: Cross multiply
    459,051,787.69x = 996,041,674.97 × 996,041,674.97
  4. Step 4: Simplify right side
    459,051,787.69x = 992,099,018,274,552,960
  5. Step 5: Solve for x
    x = 992,099,018,274,552,960/459,051,787.69
  6. Step 6: Final answer
    x = 2,161,191,928.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.