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Finding the Third Proportional to 71,724,619,784 and 156,960,585,712

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Solution

The third proportional to 71,724,619,784 and 156,960,585,712 is: 343,489,105,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,784 : 156,960,585,712 = 156,960,585,712 : x
  2. Step 2: Convert to fraction form
    71,724,619,784/156,960,585,712 = 156,960,585,712/x
  3. Step 3: Cross multiply
    71,724,619,784x = 156,960,585,712 × 156,960,585,712
  4. Step 4: Simplify right side
    71,724,619,784x = 24,636,625,467,054,099,529,728
  5. Step 5: Solve for x
    x = 24,636,625,467,054,099,529,728/71,724,619,784
  6. Step 6: Final answer
    x = 343,489,105,153.12

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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.