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Finding the Third Proportional to 829,864,052.72 and 1,261,788,772.92

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Solution

The third proportional to 829,864,052.72 and 1,261,788,772.92 is: 1,918,520,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,864,052.72 : 1,261,788,772.92 = 1,261,788,772.92 : x
  2. Step 2: Convert to fraction form
    829,864,052.72/1,261,788,772.92 = 1,261,788,772.92/x
  3. Step 3: Cross multiply
    829,864,052.72x = 1,261,788,772.92 × 1,261,788,772.92
  4. Step 4: Simplify right side
    829,864,052.72x = 1,592,110,907,471,754,240
  5. Step 5: Solve for x
    x = 1,592,110,907,471,754,240/829,864,052.72
  6. Step 6: Final answer
    x = 1,918,520,150.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.