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Finding the Third Proportional to 71,724,619,811 and 156,960,585,769

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Solution

The third proportional to 71,724,619,811 and 156,960,585,769 is: 343,489,105,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,811 : 156,960,585,769 = 156,960,585,769 : x
  2. Step 2: Convert to fraction form
    71,724,619,811/156,960,585,769 = 156,960,585,769/x
  3. Step 3: Cross multiply
    71,724,619,811x = 156,960,585,769 × 156,960,585,769
  4. Step 4: Simplify right side
    71,724,619,811x = 24,636,625,484,947,604,373,504
  5. Step 5: Solve for x
    x = 24,636,625,484,947,604,373,504/71,724,619,811
  6. Step 6: Final answer
    x = 343,489,105,273.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.