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Finding the Third Proportional to 24,255,832.50 and 35,480,875.50

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Solution

The third proportional to 24,255,832.50 and 35,480,875.50 is: 51,900,610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,255,832.50 : 35,480,875.50 = 35,480,875.50 : x
  2. Step 2: Convert to fraction form
    24,255,832.50/35,480,875.50 = 35,480,875.50/x
  3. Step 3: Cross multiply
    24,255,832.50x = 35,480,875.50 × 35,480,875.50
  4. Step 4: Simplify right side
    24,255,832.50x = 1,258,892,526,246,500.25
  5. Step 5: Solve for x
    x = 1,258,892,526,246,500.25/24,255,832.50
  6. Step 6: Final answer
    x = 51,900,610.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.