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Finding the Third Proportional to 31,832,931 and 68,203,869

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Solution

The third proportional to 31,832,931 and 68,203,869 is: 146,130,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832,931 : 68,203,869 = 68,203,869 : x
  2. Step 2: Convert to fraction form
    31,832,931/68,203,869 = 68,203,869/x
  3. Step 3: Cross multiply
    31,832,931x = 68,203,869 × 68,203,869
  4. Step 4: Simplify right side
    31,832,931x = 4,651,767,746,569,161
  5. Step 5: Solve for x
    x = 4,651,767,746,569,161/31,832,931
  6. Step 6: Final answer
    x = 146,130,676.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.