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Finding the Third Proportional to 39,971,939,908 and 88,881,034,866

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Solution

The third proportional to 39,971,939,908 and 88,881,034,866 is: 197,634,600,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,971,939,908 : 88,881,034,866 = 88,881,034,866 : x
  2. Step 2: Convert to fraction form
    39,971,939,908/88,881,034,866 = 88,881,034,866/x
  3. Step 3: Cross multiply
    39,971,939,908x = 88,881,034,866 × 88,881,034,866
  4. Step 4: Simplify right side
    39,971,939,908x = 7,899,838,358,851,107,684,352
  5. Step 5: Solve for x
    x = 7,899,838,358,851,107,684,352/39,971,939,908
  6. Step 6: Final answer
    x = 197,634,600,097.81

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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.