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Finding the Third Proportional to 211,854,627 and 448,910,784

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Solution

The third proportional to 211,854,627 and 448,910,784 is: 951,222,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,854,627 : 448,910,784 = 448,910,784 : x
  2. Step 2: Convert to fraction form
    211,854,627/448,910,784 = 448,910,784/x
  3. Step 3: Cross multiply
    211,854,627x = 448,910,784 × 448,910,784
  4. Step 4: Simplify right side
    211,854,627x = 201,520,891,991,494,656
  5. Step 5: Solve for x
    x = 201,520,891,991,494,656/211,854,627
  6. Step 6: Final answer
    x = 951,222,519.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.