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Finding the Third Proportional to 122,586,423 and 182,816,589

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Solution

The third proportional to 122,586,423 and 182,816,589 is: 272,639,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,586,423 : 182,816,589 = 182,816,589 : x
  2. Step 2: Convert to fraction form
    122,586,423/182,816,589 = 182,816,589/x
  3. Step 3: Cross multiply
    122,586,423x = 182,816,589 × 182,816,589
  4. Step 4: Simplify right side
    122,586,423x = 33,421,905,213,594,920
  5. Step 5: Solve for x
    x = 33,421,905,213,594,920/122,586,423
  6. Step 6: Final answer
    x = 272,639,533.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.