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Finding the Third Proportional to 8,211,126,960 and 12,720,113,867.25

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Solution

The third proportional to 8,211,126,960 and 12,720,113,867.25 is: 19,705,126,663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211,126,960 : 12,720,113,867.25 = 12,720,113,867.25 : x
  2. Step 2: Convert to fraction form
    8,211,126,960/12,720,113,867.25 = 12,720,113,867.25/x
  3. Step 3: Cross multiply
    8,211,126,960x = 12,720,113,867.25 × 12,720,113,867.25
  4. Step 4: Simplify right side
    8,211,126,960x = 161,801,296,795,805,745,152
  5. Step 5: Solve for x
    x = 161,801,296,795,805,745,152/8,211,126,960
  6. Step 6: Final answer
    x = 19,705,126,663.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.