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Finding the Third Proportional to 239,582,780 and 515,480,702

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Solution

The third proportional to 239,582,780 and 515,480,702 is: 1,109,096,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,582,780 : 515,480,702 = 515,480,702 : x
  2. Step 2: Convert to fraction form
    239,582,780/515,480,702 = 515,480,702/x
  3. Step 3: Cross multiply
    239,582,780x = 515,480,702 × 515,480,702
  4. Step 4: Simplify right side
    239,582,780x = 265,720,354,134,412,800
  5. Step 5: Solve for x
    x = 265,720,354,134,412,800/239,582,780
  6. Step 6: Final answer
    x = 1,109,096,213.57

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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.