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Finding the Third Proportional to 8,609,558,291 and 12,311,683,017

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Solution

The third proportional to 8,609,558,291 and 12,311,683,017 is: 17,605,727,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609,558,291 : 12,311,683,017 = 12,311,683,017 : x
  2. Step 2: Convert to fraction form
    8,609,558,291/12,311,683,017 = 12,311,683,017/x
  3. Step 3: Cross multiply
    8,609,558,291x = 12,311,683,017 × 12,311,683,017
  4. Step 4: Simplify right side
    8,609,558,291x = 151,577,538,711,086,235,648
  5. Step 5: Solve for x
    x = 151,577,538,711,086,235,648/8,609,558,291
  6. Step 6: Final answer
    x = 17,605,727,679.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.