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Finding the Third Proportional to 1,401,885,280 and 2,991,405,688

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Solution

The third proportional to 1,401,885,280 and 2,991,405,688 is: 6,383,195,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,885,280 : 2,991,405,688 = 2,991,405,688 : x
  2. Step 2: Convert to fraction form
    1,401,885,280/2,991,405,688 = 2,991,405,688/x
  3. Step 3: Cross multiply
    1,401,885,280x = 2,991,405,688 × 2,991,405,688
  4. Step 4: Simplify right side
    1,401,885,280x = 8,948,507,990,198,753,280
  5. Step 5: Solve for x
    x = 8,948,507,990,198,753,280/1,401,885,280
  6. Step 6: Final answer
    x = 6,383,195,627.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.