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Finding the Third Proportional to 281,254,524 and 616,967,535

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Solution

The third proportional to 281,254,524 and 616,967,535 is: 1,353,396,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,254,524 : 616,967,535 = 616,967,535 : x
  2. Step 2: Convert to fraction form
    281,254,524/616,967,535 = 616,967,535/x
  3. Step 3: Cross multiply
    281,254,524x = 616,967,535 × 616,967,535
  4. Step 4: Simplify right side
    281,254,524x = 380,648,939,243,976,256
  5. Step 5: Solve for x
    x = 380,648,939,243,976,256/281,254,524
  6. Step 6: Final answer
    x = 1,353,396,680.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.