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Finding the Third Proportional to 322,760,788,583.62 and 706,322,634,793.29

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Solution

The third proportional to 322,760,788,583.62 and 706,322,634,793.29 is: 1,545,700,971,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,760,788,583.62 : 706,322,634,793.29 = 706,322,634,793.29 : x
  2. Step 2: Convert to fraction form
    322,760,788,583.62/706,322,634,793.29 = 706,322,634,793.29/x
  3. Step 3: Cross multiply
    322,760,788,583.62x = 706,322,634,793.29 × 706,322,634,793.29
  4. Step 4: Simplify right side
    322,760,788,583.62x = 498,891,664,421,335,366,369,280
  5. Step 5: Solve for x
    x = 498,891,664,421,335,366,369,280/322,760,788,583.62
  6. Step 6: Final answer
    x = 1,545,700,971,331.23

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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.