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Finding the Third Proportional to 12,522,209,588 and 27,294,421,298

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Solution

The third proportional to 12,522,209,588 and 27,294,421,298 is: 59,493,129,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522,209,588 : 27,294,421,298 = 27,294,421,298 : x
  2. Step 2: Convert to fraction form
    12,522,209,588/27,294,421,298 = 27,294,421,298/x
  3. Step 3: Cross multiply
    12,522,209,588x = 27,294,421,298 × 27,294,421,298
  4. Step 4: Simplify right side
    12,522,209,588x = 744,985,433,992,715,960,320
  5. Step 5: Solve for x
    x = 744,985,433,992,715,960,320/12,522,209,588
  6. Step 6: Final answer
    x = 59,493,129,288.19

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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.