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Finding the Third Proportional to 31,157,034 and 72,122,896.50

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Solution

The third proportional to 31,157,034 and 72,122,896.50 is: 166,951,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157,034 : 72,122,896.50 = 72,122,896.50 : x
  2. Step 2: Convert to fraction form
    31,157,034/72,122,896.50 = 72,122,896.50/x
  3. Step 3: Cross multiply
    31,157,034x = 72,122,896.50 × 72,122,896.50
  4. Step 4: Simplify right side
    31,157,034x = 5,201,712,199,549,712
  5. Step 5: Solve for x
    x = 5,201,712,199,549,712/31,157,034
  6. Step 6: Final answer
    x = 166,951,456.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.