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Finding the Third Proportional to 31,456,783 and 42,500,068

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Solution

The third proportional to 31,456,783 and 42,500,068 is: 57,420,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456,783 : 42,500,068 = 42,500,068 : x
  2. Step 2: Convert to fraction form
    31,456,783/42,500,068 = 42,500,068/x
  3. Step 3: Cross multiply
    31,456,783x = 42,500,068 × 42,500,068
  4. Step 4: Simplify right side
    31,456,783x = 1,806,255,780,004,624
  5. Step 5: Solve for x
    x = 1,806,255,780,004,624/31,456,783
  6. Step 6: Final answer
    x = 57,420,232.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.