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Finding the Third Proportional to 71,724,619,814 and 156,960,585,772

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Solution

The third proportional to 71,724,619,814 and 156,960,585,772 is: 343,489,105,272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,814 : 156,960,585,772 = 156,960,585,772 : x
  2. Step 2: Convert to fraction form
    71,724,619,814/156,960,585,772 = 156,960,585,772/x
  3. Step 3: Cross multiply
    71,724,619,814x = 156,960,585,772 × 156,960,585,772
  4. Step 4: Simplify right side
    71,724,619,814x = 24,636,625,485,889,368,227,840
  5. Step 5: Solve for x
    x = 24,636,625,485,889,368,227,840/71,724,619,814
  6. Step 6: Final answer
    x = 343,489,105,272.06

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Why These Related Problems?

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