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Finding the Third Proportional to 6,387,762,032 and 13,900,329,736

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Solution

The third proportional to 6,387,762,032 and 13,900,329,736 is: 30,248,335,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387,762,032 : 13,900,329,736 = 13,900,329,736 : x
  2. Step 2: Convert to fraction form
    6,387,762,032/13,900,329,736 = 13,900,329,736/x
  3. Step 3: Cross multiply
    6,387,762,032x = 13,900,329,736 × 13,900,329,736
  4. Step 4: Simplify right side
    6,387,762,032x = 193,219,166,769,525,817,344
  5. Step 5: Solve for x
    x = 193,219,166,769,525,817,344/6,387,762,032
  6. Step 6: Final answer
    x = 30,248,335,144.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.