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Finding the Third Proportional to 12,317,538,564 and 17,796,719,952

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Solution

The third proportional to 12,317,538,564 and 17,796,719,952 is: 25,713,192,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317,538,564 : 17,796,719,952 = 17,796,719,952 : x
  2. Step 2: Convert to fraction form
    12,317,538,564/17,796,719,952 = 17,796,719,952/x
  3. Step 3: Cross multiply
    12,317,538,564x = 17,796,719,952 × 17,796,719,952
  4. Step 4: Simplify right side
    12,317,538,564x = 316,723,241,049,914,867,712
  5. Step 5: Solve for x
    x = 316,723,241,049,914,867,712/12,317,538,564
  6. Step 6: Final answer
    x = 25,713,192,567.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.