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Finding the Third Proportional to 12,365,073 and 26,431,832.25

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Solution

The third proportional to 12,365,073 and 26,431,832.25 is: 56,501,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365,073 : 26,431,832.25 = 26,431,832.25 : x
  2. Step 2: Convert to fraction form
    12,365,073/26,431,832.25 = 26,431,832.25/x
  3. Step 3: Cross multiply
    12,365,073x = 26,431,832.25 × 26,431,832.25
  4. Step 4: Simplify right side
    12,365,073x = 698,641,756,092,140
  5. Step 5: Solve for x
    x = 698,641,756,092,140/12,365,073
  6. Step 6: Final answer
    x = 56,501,223.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.