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Finding the Third Proportional to 27,783,999,488 and 59,601,300,480

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Solution

The third proportional to 27,783,999,488 and 59,601,300,480 is: 127,854,703,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783,999,488 : 59,601,300,480 = 59,601,300,480 : x
  2. Step 2: Convert to fraction form
    27,783,999,488/59,601,300,480 = 59,601,300,480/x
  3. Step 3: Cross multiply
    27,783,999,488x = 59,601,300,480 × 59,601,300,480
  4. Step 4: Simplify right side
    27,783,999,488x = 3,552,315,018,907,248,230,400
  5. Step 5: Solve for x
    x = 3,552,315,018,907,248,230,400/27,783,999,488
  6. Step 6: Final answer
    x = 127,854,703,583.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.