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Finding the Third Proportional to 5,877,251,724 and 12,787,583,064

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Solution

The third proportional to 5,877,251,724 and 12,787,583,064 is: 27,822,915,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,251,724 : 12,787,583,064 = 12,787,583,064 : x
  2. Step 2: Convert to fraction form
    5,877,251,724/12,787,583,064 = 12,787,583,064/x
  3. Step 3: Cross multiply
    5,877,251,724x = 12,787,583,064 × 12,787,583,064
  4. Step 4: Simplify right side
    5,877,251,724x = 163,522,280,618,699,620,352
  5. Step 5: Solve for x
    x = 163,522,280,618,699,620,352/5,877,251,724
  6. Step 6: Final answer
    x = 27,822,915,930.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.