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Finding the Third Proportional to 51,663,058,610 and 80,866,797,072

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Solution

The third proportional to 51,663,058,610 and 80,866,797,072 is: 126,578,623,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,663,058,610 : 80,866,797,072 = 80,866,797,072 : x
  2. Step 2: Convert to fraction form
    51,663,058,610/80,866,797,072 = 80,866,797,072/x
  3. Step 3: Cross multiply
    51,663,058,610x = 80,866,797,072 × 80,866,797,072
  4. Step 4: Simplify right side
    51,663,058,610x = 6,539,438,868,684,027,723,776
  5. Step 5: Solve for x
    x = 6,539,438,868,684,027,723,776/51,663,058,610
  6. Step 6: Final answer
    x = 126,578,623,965.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.