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Finding the Third Proportional to 31,490,967 and 47,072,505

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Solution

The third proportional to 31,490,967 and 47,072,505 is: 70,363,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490,967 : 47,072,505 = 47,072,505 : x
  2. Step 2: Convert to fraction form
    31,490,967/47,072,505 = 47,072,505/x
  3. Step 3: Cross multiply
    31,490,967x = 47,072,505 × 47,072,505
  4. Step 4: Simplify right side
    31,490,967x = 2,215,820,726,975,025
  5. Step 5: Solve for x
    x = 2,215,820,726,975,025/31,490,967
  6. Step 6: Final answer
    x = 70,363,692.77

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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.