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Finding the Third Proportional to 10,791,466,720 and 16,187,146,616

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Solution

The third proportional to 10,791,466,720 and 16,187,146,616 is: 24,280,639,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791,466,720 : 16,187,146,616 = 16,187,146,616 : x
  2. Step 2: Convert to fraction form
    10,791,466,720/16,187,146,616 = 16,187,146,616/x
  3. Step 3: Cross multiply
    10,791,466,720x = 16,187,146,616 × 16,187,146,616
  4. Step 4: Simplify right side
    10,791,466,720x = 262,023,715,567,880,241,152
  5. Step 5: Solve for x
    x = 262,023,715,567,880,241,152/10,791,466,720
  6. Step 6: Final answer
    x = 24,280,639,728.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.