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Finding the Third Proportional to 9,167,846,998.50 and 19,642,640,985

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Solution

The third proportional to 9,167,846,998.50 and 19,642,640,985 is: 42,085,491,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167,846,998.50 : 19,642,640,985 = 19,642,640,985 : x
  2. Step 2: Convert to fraction form
    9,167,846,998.50/19,642,640,985 = 19,642,640,985/x
  3. Step 3: Cross multiply
    9,167,846,998.50x = 19,642,640,985 × 19,642,640,985
  4. Step 4: Simplify right side
    9,167,846,998.50x = 385,833,344,865,601,781,760
  5. Step 5: Solve for x
    x = 385,833,344,865,601,781,760/9,167,846,998.50
  6. Step 6: Final answer
    x = 42,085,491,274.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.