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Finding the Third Proportional to 53,467,821 and 114,609,345

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Solution

The third proportional to 53,467,821 and 114,609,345 is: 245,667,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,467,821 : 114,609,345 = 114,609,345 : x
  2. Step 2: Convert to fraction form
    53,467,821/114,609,345 = 114,609,345/x
  3. Step 3: Cross multiply
    53,467,821x = 114,609,345 × 114,609,345
  4. Step 4: Simplify right side
    53,467,821x = 13,135,301,961,329,024
  5. Step 5: Solve for x
    x = 13,135,301,961,329,024/53,467,821
  6. Step 6: Final answer
    x = 245,667,426.05

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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.