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Finding the Third Proportional to 71,724,619,783 and 156,960,585,723

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Solution

The third proportional to 71,724,619,783 and 156,960,585,723 is: 343,489,105,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,783 : 156,960,585,723 = 156,960,585,723 : x
  2. Step 2: Convert to fraction form
    71,724,619,783/156,960,585,723 = 156,960,585,723/x
  3. Step 3: Cross multiply
    71,724,619,783x = 156,960,585,723 × 156,960,585,723
  4. Step 4: Simplify right side
    71,724,619,783x = 24,636,625,470,507,232,264,192
  5. Step 5: Solve for x
    x = 24,636,625,470,507,232,264,192/71,724,619,783
  6. Step 6: Final answer
    x = 343,489,105,206.06

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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.