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Finding the Third Proportional to 24,058,525.50 and 56,138,499.75

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Solution

The third proportional to 24,058,525.50 and 56,138,499.75 is: 130,994,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,058,525.50 : 56,138,499.75 = 56,138,499.75 : x
  2. Step 2: Convert to fraction form
    24,058,525.50/56,138,499.75 = 56,138,499.75/x
  3. Step 3: Cross multiply
    24,058,525.50x = 56,138,499.75 × 56,138,499.75
  4. Step 4: Simplify right side
    24,058,525.50x = 3,151,531,154,180,750
  5. Step 5: Solve for x
    x = 3,151,531,154,180,750/24,058,525.50
  6. Step 6: Final answer
    x = 130,994,360.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.