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Finding the Third Proportional to 39,971,939,039 and 88,881,033,149

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Solution

The third proportional to 39,971,939,039 and 88,881,033,149 is: 197,634,596,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,971,939,039 : 88,881,033,149 = 88,881,033,149 : x
  2. Step 2: Convert to fraction form
    39,971,939,039/88,881,033,149 = 88,881,033,149/x
  3. Step 3: Cross multiply
    39,971,939,039x = 88,881,033,149 × 88,881,033,149
  4. Step 4: Simplify right side
    39,971,939,039x = 7,899,838,053,633,636,696,064
  5. Step 5: Solve for x
    x = 7,899,838,053,633,636,696,064/39,971,939,039
  6. Step 6: Final answer
    x = 197,634,596,758.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.