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Finding the Third Proportional to 45,310,418,894 and 71,078,676,042

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Solution

The third proportional to 45,310,418,894 and 71,078,676,042 is: 111,501,467,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,310,418,894 : 71,078,676,042 = 71,078,676,042 : x
  2. Step 2: Convert to fraction form
    45,310,418,894/71,078,676,042 = 71,078,676,042/x
  3. Step 3: Cross multiply
    45,310,418,894x = 71,078,676,042 × 71,078,676,042
  4. Step 4: Simplify right side
    45,310,418,894x = 5,052,178,187,883,585,208,320
  5. Step 5: Solve for x
    x = 5,052,178,187,883,585,208,320/45,310,418,894
  6. Step 6: Final answer
    x = 111,501,467,238.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.