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Finding the Third Proportional to 114,678,405 and 247,613,922

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Solution

The third proportional to 114,678,405 and 247,613,922 is: 534,648,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,678,405 : 247,613,922 = 247,613,922 : x
  2. Step 2: Convert to fraction form
    114,678,405/247,613,922 = 247,613,922/x
  3. Step 3: Cross multiply
    114,678,405x = 247,613,922 × 247,613,922
  4. Step 4: Simplify right side
    114,678,405x = 61,312,654,368,222,080
  5. Step 5: Solve for x
    x = 61,312,654,368,222,080/114,678,405
  6. Step 6: Final answer
    x = 534,648,649.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.