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Finding the Third Proportional to 31,197,932 and 48,685,562

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Solution

The third proportional to 31,197,932 and 48,685,562 is: 75,975,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197,932 : 48,685,562 = 48,685,562 : x
  2. Step 2: Convert to fraction form
    31,197,932/48,685,562 = 48,685,562/x
  3. Step 3: Cross multiply
    31,197,932x = 48,685,562 × 48,685,562
  4. Step 4: Simplify right side
    31,197,932x = 2,370,283,947,255,844
  5. Step 5: Solve for x
    x = 2,370,283,947,255,844/31,197,932
  6. Step 6: Final answer
    x = 75,975,675.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.