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Finding the Third Proportional to 26,526,024 and 42,180,331.50

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Solution

The third proportional to 26,526,024 and 42,180,331.50 is: 67,073,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,526,024 : 42,180,331.50 = 42,180,331.50 : x
  2. Step 2: Convert to fraction form
    26,526,024/42,180,331.50 = 42,180,331.50/x
  3. Step 3: Cross multiply
    26,526,024x = 42,180,331.50 × 42,180,331.50
  4. Step 4: Simplify right side
    26,526,024x = 1,779,180,365,449,892.25
  5. Step 5: Solve for x
    x = 1,779,180,365,449,892.25/26,526,024
  6. Step 6: Final answer
    x = 67,073,013.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.