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Finding the Third Proportional to 71,481,881 and 156,072,731

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Solution

The third proportional to 71,481,881 and 156,072,731 is: 340,767,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,481,881 : 156,072,731 = 156,072,731 : x
  2. Step 2: Convert to fraction form
    71,481,881/156,072,731 = 156,072,731/x
  3. Step 3: Cross multiply
    71,481,881x = 156,072,731 × 156,072,731
  4. Step 4: Simplify right side
    71,481,881x = 24,358,697,361,798,360
  5. Step 5: Solve for x
    x = 24,358,697,361,798,360/71,481,881
  6. Step 6: Final answer
    x = 340,767,436.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.