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Finding the Third Proportional to 6,630,309,462,375 and 14,428,134,282,573

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Solution

The third proportional to 6,630,309,462,375 and 14,428,134,282,573 is: 31,396,884,271,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630,309,462,375 : 14,428,134,282,573 = 14,428,134,282,573 : x
  2. Step 2: Convert to fraction form
    6,630,309,462,375/14,428,134,282,573 = 14,428,134,282,573/x
  3. Step 3: Cross multiply
    6,630,309,462,375x = 14,428,134,282,573 × 14,428,134,282,573
  4. Step 4: Simplify right side
    6,630,309,462,375x = 208,171,058,875,958,294,646,620,160
  5. Step 5: Solve for x
    x = 208,171,058,875,958,294,646,620,160/6,630,309,462,375
  6. Step 6: Final answer
    x = 31,396,884,271,732.12

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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.