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Finding the Third Proportional to 536,348,096 and 820,116,924

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Solution

The third proportional to 536,348,096 and 820,116,924 is: 1,254,020,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,348,096 : 820,116,924 = 820,116,924 : x
  2. Step 2: Convert to fraction form
    536,348,096/820,116,924 = 820,116,924/x
  3. Step 3: Cross multiply
    536,348,096x = 820,116,924 × 820,116,924
  4. Step 4: Simplify right side
    536,348,096x = 672,591,769,031,221,760
  5. Step 5: Solve for x
    x = 672,591,769,031,221,760/536,348,096
  6. Step 6: Final answer
    x = 1,254,020,987.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.