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Finding the Third Proportional to 20,563,981,296 and 44,778,675,309

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Solution

The third proportional to 20,563,981,296 and 44,778,675,309 is: 97,506,885,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563,981,296 : 44,778,675,309 = 44,778,675,309 : x
  2. Step 2: Convert to fraction form
    20,563,981,296/44,778,675,309 = 44,778,675,309/x
  3. Step 3: Cross multiply
    20,563,981,296x = 44,778,675,309 × 44,778,675,309
  4. Step 4: Simplify right side
    20,563,981,296x = 2,005,129,762,428,846,342,144
  5. Step 5: Solve for x
    x = 2,005,129,762,428,846,342,144/20,563,981,296
  6. Step 6: Final answer
    x = 97,506,885,148.69

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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.