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Finding the Third Proportional to 297,378,972 and 644,173,127

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Solution

The third proportional to 297,378,972 and 644,173,127 is: 1,395,387,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,378,972 : 644,173,127 = 644,173,127 : x
  2. Step 2: Convert to fraction form
    297,378,972/644,173,127 = 644,173,127/x
  3. Step 3: Cross multiply
    297,378,972x = 644,173,127 × 644,173,127
  4. Step 4: Simplify right side
    297,378,972x = 414,959,017,548,958,144
  5. Step 5: Solve for x
    x = 414,959,017,548,958,144/297,378,972
  6. Step 6: Final answer
    x = 1,395,387,894.30

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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.