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Finding the Third Proportional to 2,483,367,306 and 5,407,633,812

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Solution

The third proportional to 2,483,367,306 and 5,407,633,812 is: 11,775,343,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483,367,306 : 5,407,633,812 = 5,407,633,812 : x
  2. Step 2: Convert to fraction form
    2,483,367,306/5,407,633,812 = 5,407,633,812/x
  3. Step 3: Cross multiply
    2,483,367,306x = 5,407,633,812 × 5,407,633,812
  4. Step 4: Simplify right side
    2,483,367,306x = 29,242,503,444,685,651,968
  5. Step 5: Solve for x
    x = 29,242,503,444,685,651,968/2,483,367,306
  6. Step 6: Final answer
    x = 11,775,343,652.96

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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.