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Finding the Third Proportional to 864,747,356,674 and 1,859,636,216,990

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Solution

The third proportional to 864,747,356,674 and 1,859,636,216,990 is: 3,999,141,290,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,747,356,674 : 1,859,636,216,990 = 1,859,636,216,990 : x
  2. Step 2: Convert to fraction form
    864,747,356,674/1,859,636,216,990 = 1,859,636,216,990/x
  3. Step 3: Cross multiply
    864,747,356,674x = 1,859,636,216,990 × 1,859,636,216,990
  4. Step 4: Simplify right side
    864,747,356,674x = 3,458,246,859,540,878,428,471,296
  5. Step 5: Solve for x
    x = 3,458,246,859,540,878,428,471,296/864,747,356,674
  6. Step 6: Final answer
    x = 3,999,141,290,054.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.