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Finding the Third Proportional to 270,350,145,601.88 and 562,948,978,998.36

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Solution

The third proportional to 270,350,145,601.88 and 562,948,978,998.36 is: 1,172,226,307,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,350,145,601.88 : 562,948,978,998.36 = 562,948,978,998.36 : x
  2. Step 2: Convert to fraction form
    270,350,145,601.88/562,948,978,998.36 = 562,948,978,998.36/x
  3. Step 3: Cross multiply
    270,350,145,601.88x = 562,948,978,998.36 × 562,948,978,998.36
  4. Step 4: Simplify right side
    270,350,145,601.88x = 316,911,552,955,295,981,371,392
  5. Step 5: Solve for x
    x = 316,911,552,955,295,981,371,392/270,350,145,601.88
  6. Step 6: Final answer
    x = 1,172,226,307,663.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.