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Finding the Third Proportional to 16,998,868,456 and 36,385,673,892

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Solution

The third proportional to 16,998,868,456 and 36,385,673,892 is: 77,882,670,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,998,868,456 : 36,385,673,892 = 36,385,673,892 : x
  2. Step 2: Convert to fraction form
    16,998,868,456/36,385,673,892 = 36,385,673,892/x
  3. Step 3: Cross multiply
    16,998,868,456x = 36,385,673,892 × 36,385,673,892
  4. Step 4: Simplify right side
    16,998,868,456x = 1,323,917,264,574,970,331,136
  5. Step 5: Solve for x
    x = 1,323,917,264,574,970,331,136/16,998,868,456
  6. Step 6: Final answer
    x = 77,882,670,131.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.