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Finding the Third Proportional to 36,798,867,897 and 80,045,277,156

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Solution

The third proportional to 36,798,867,897 and 80,045,277,156 is: 174,115,312,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798,867,897 : 80,045,277,156 = 80,045,277,156 : x
  2. Step 2: Convert to fraction form
    36,798,867,897/80,045,277,156 = 80,045,277,156/x
  3. Step 3: Cross multiply
    36,798,867,897x = 80,045,277,156 × 80,045,277,156
  4. Step 4: Simplify right side
    36,798,867,897x = 6,407,246,394,980,855,447,552
  5. Step 5: Solve for x
    x = 6,407,246,394,980,855,447,552/36,798,867,897
  6. Step 6: Final answer
    x = 174,115,312,811.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.