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Finding the Third Proportional to 301,886,992 and 646,827,248

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Solution

The third proportional to 301,886,992 and 646,827,248 is: 1,385,901,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,886,992 : 646,827,248 = 646,827,248 : x
  2. Step 2: Convert to fraction form
    301,886,992/646,827,248 = 646,827,248/x
  3. Step 3: Cross multiply
    301,886,992x = 646,827,248 × 646,827,248
  4. Step 4: Simplify right side
    301,886,992x = 418,385,488,755,253,504
  5. Step 5: Solve for x
    x = 418,385,488,755,253,504/301,886,992
  6. Step 6: Final answer
    x = 1,385,901,015.42

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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.