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Finding the Third Proportional to 10,331,064 and 22,522,264.50

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Solution

The third proportional to 10,331,064 and 22,522,264.50 is: 49,099,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331,064 : 22,522,264.50 = 22,522,264.50 : x
  2. Step 2: Convert to fraction form
    10,331,064/22,522,264.50 = 22,522,264.50/x
  3. Step 3: Cross multiply
    10,331,064x = 22,522,264.50 × 22,522,264.50
  4. Step 4: Simplify right side
    10,331,064x = 507,252,398,207,960.25
  5. Step 5: Solve for x
    x = 507,252,398,207,960.25/10,331,064
  6. Step 6: Final answer
    x = 49,099,724.70

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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.