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Finding the Third Proportional to 51,663,058,656 and 80,866,797,160

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Solution

The third proportional to 51,663,058,656 and 80,866,797,160 is: 126,578,624,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,663,058,656 : 80,866,797,160 = 80,866,797,160 : x
  2. Step 2: Convert to fraction form
    51,663,058,656/80,866,797,160 = 80,866,797,160/x
  3. Step 3: Cross multiply
    51,663,058,656x = 80,866,797,160 × 80,866,797,160
  4. Step 4: Simplify right side
    51,663,058,656x = 6,539,438,882,916,583,604,224
  5. Step 5: Solve for x
    x = 6,539,438,882,916,583,604,224/51,663,058,656
  6. Step 6: Final answer
    x = 126,578,624,127.92

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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.