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Finding the Third Proportional to 11,243,427.75 and 24,413,319

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Solution

The third proportional to 11,243,427.75 and 24,413,319 is: 53,009,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,243,427.75 : 24,413,319 = 24,413,319 : x
  2. Step 2: Convert to fraction form
    11,243,427.75/24,413,319 = 24,413,319/x
  3. Step 3: Cross multiply
    11,243,427.75x = 24,413,319 × 24,413,319
  4. Step 4: Simplify right side
    11,243,427.75x = 596,010,144,595,761
  5. Step 5: Solve for x
    x = 596,010,144,595,761/11,243,427.75
  6. Step 6: Final answer
    x = 53,009,647.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.