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Finding the Third Proportional to 7,971,386,136 and 17,125,751,633

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Solution

The third proportional to 7,971,386,136 and 17,125,751,633 is: 36,793,019,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971,386,136 : 17,125,751,633 = 17,125,751,633 : x
  2. Step 2: Convert to fraction form
    7,971,386,136/17,125,751,633 = 17,125,751,633/x
  3. Step 3: Cross multiply
    7,971,386,136x = 17,125,751,633 × 17,125,751,633
  4. Step 4: Simplify right side
    7,971,386,136x = 293,291,368,995,202,170,880
  5. Step 5: Solve for x
    x = 293,291,368,995,202,170,880/7,971,386,136
  6. Step 6: Final answer
    x = 36,793,019,932.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.