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Finding the Third Proportional to 23,121,944 and 32,532,012

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Solution

The third proportional to 23,121,944 and 32,532,012 is: 45,771,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,121,944 : 32,532,012 = 32,532,012 : x
  2. Step 2: Convert to fraction form
    23,121,944/32,532,012 = 32,532,012/x
  3. Step 3: Cross multiply
    23,121,944x = 32,532,012 × 32,532,012
  4. Step 4: Simplify right side
    23,121,944x = 1,058,331,804,768,144
  5. Step 5: Solve for x
    x = 1,058,331,804,768,144/23,121,944
  6. Step 6: Final answer
    x = 45,771,748.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.