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Finding the Third Proportional to 36,051,794,948 and 52,997,737,874

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Solution

The third proportional to 36,051,794,948 and 52,997,737,874 is: 77,909,025,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,051,794,948 : 52,997,737,874 = 52,997,737,874 : x
  2. Step 2: Convert to fraction form
    36,051,794,948/52,997,737,874 = 52,997,737,874/x
  3. Step 3: Cross multiply
    36,051,794,948x = 52,997,737,874 × 52,997,737,874
  4. Step 4: Simplify right side
    36,051,794,948x = 2,808,760,219,761,214,226,432
  5. Step 5: Solve for x
    x = 2,808,760,219,761,214,226,432/36,051,794,948
  6. Step 6: Final answer
    x = 77,909,025,717.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.