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Finding the Third Proportional to 36,623,379,788 and 78,545,797,243

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Solution

The third proportional to 36,623,379,788 and 78,545,797,243 is: 168,456,387,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,623,379,788 : 78,545,797,243 = 78,545,797,243 : x
  2. Step 2: Convert to fraction form
    36,623,379,788/78,545,797,243 = 78,545,797,243/x
  3. Step 3: Cross multiply
    36,623,379,788x = 78,545,797,243 × 78,545,797,243
  4. Step 4: Simplify right side
    36,623,379,788x = 6,169,442,264,538,466,484,224
  5. Step 5: Solve for x
    x = 6,169,442,264,538,466,484,224/36,623,379,788
  6. Step 6: Final answer
    x = 168,456,387,702.37

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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.