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Finding the Third Proportional to 524,647,098 and 1,121,935,537.50

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Solution

The third proportional to 524,647,098 and 1,121,935,537.50 is: 2,399,211,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,647,098 : 1,121,935,537.50 = 1,121,935,537.50 : x
  2. Step 2: Convert to fraction form
    524,647,098/1,121,935,537.50 = 1,121,935,537.50/x
  3. Step 3: Cross multiply
    524,647,098x = 1,121,935,537.50 × 1,121,935,537.50
  4. Step 4: Simplify right side
    524,647,098x = 1,258,739,350,305,413,888
  5. Step 5: Solve for x
    x = 1,258,739,350,305,413,888/524,647,098
  6. Step 6: Final answer
    x = 2,399,211,498.75

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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.