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Finding the Third Proportional to 605,718,036,102 and 1,308,148,581,902

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Solution

The third proportional to 605,718,036,102 and 1,308,148,581,902 is: 2,825,163,872,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,718,036,102 : 1,308,148,581,902 = 1,308,148,581,902 : x
  2. Step 2: Convert to fraction form
    605,718,036,102/1,308,148,581,902 = 1,308,148,581,902/x
  3. Step 3: Cross multiply
    605,718,036,102x = 1,308,148,581,902 × 1,308,148,581,902
  4. Step 4: Simplify right side
    605,718,036,102x = 1,711,252,712,332,213,608,251,392
  5. Step 5: Solve for x
    x = 1,711,252,712,332,213,608,251,392/605,718,036,102
  6. Step 6: Final answer
    x = 2,825,163,872,194.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.