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Finding the Third Proportional to 31,658,493 and 47,301,376.88

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Solution

The third proportional to 31,658,493 and 47,301,376.88 is: 70,673,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658,493 : 47,301,376.88 = 47,301,376.88 : x
  2. Step 2: Convert to fraction form
    31,658,493/47,301,376.88 = 47,301,376.88/x
  3. Step 3: Cross multiply
    31,658,493x = 47,301,376.88 × 47,301,376.88
  4. Step 4: Simplify right side
    31,658,493x = 2,237,420,254,270,784.75
  5. Step 5: Solve for x
    x = 2,237,420,254,270,784.75/31,658,493
  6. Step 6: Final answer
    x = 70,673,618.43

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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.