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Finding the Third Proportional to 563,383,057.50 and 1,204,299,099

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Solution

The third proportional to 563,383,057.50 and 1,204,299,099 is: 2,574,334,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,383,057.50 : 1,204,299,099 = 1,204,299,099 : x
  2. Step 2: Convert to fraction form
    563,383,057.50/1,204,299,099 = 1,204,299,099/x
  3. Step 3: Cross multiply
    563,383,057.50x = 1,204,299,099 × 1,204,299,099
  4. Step 4: Simplify right side
    563,383,057.50x = 1,450,336,319,852,211,712
  5. Step 5: Solve for x
    x = 1,450,336,319,852,211,712/563,383,057.50
  6. Step 6: Final answer
    x = 2,574,334,283.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.