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Finding the Third Proportional to 71,589,423,240 and 107,683,020,648

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Solution

The third proportional to 71,589,423,240 and 107,683,020,648 is: 161,974,107,501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,589,423,240 : 107,683,020,648 = 107,683,020,648 : x
  2. Step 2: Convert to fraction form
    71,589,423,240/107,683,020,648 = 107,683,020,648/x
  3. Step 3: Cross multiply
    71,589,423,240x = 107,683,020,648 × 107,683,020,648
  4. Step 4: Simplify right side
    71,589,423,240x = 11,595,632,935,877,593,792,512
  5. Step 5: Solve for x
    x = 11,595,632,935,877,593,792,512/71,589,423,240
  6. Step 6: Final answer
    x = 161,974,107,501.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.