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Finding the Third Proportional to 2,361,892,140 and 5,074,296,685

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Solution

The third proportional to 2,361,892,140 and 5,074,296,685 is: 10,901,635,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,892,140 : 5,074,296,685 = 5,074,296,685 : x
  2. Step 2: Convert to fraction form
    2,361,892,140/5,074,296,685 = 5,074,296,685/x
  3. Step 3: Cross multiply
    2,361,892,140x = 5,074,296,685 × 5,074,296,685
  4. Step 4: Simplify right side
    2,361,892,140x = 25,748,486,847,401,988,096
  5. Step 5: Solve for x
    x = 25,748,486,847,401,988,096/2,361,892,140
  6. Step 6: Final answer
    x = 10,901,635,350.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.