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Finding the Third Proportional to 1,644,675,184 and 3,590,733,384

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Solution

The third proportional to 1,644,675,184 and 3,590,733,384 is: 7,839,460,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,675,184 : 3,590,733,384 = 3,590,733,384 : x
  2. Step 2: Convert to fraction form
    1,644,675,184/3,590,733,384 = 3,590,733,384/x
  3. Step 3: Cross multiply
    1,644,675,184x = 3,590,733,384 × 3,590,733,384
  4. Step 4: Simplify right side
    1,644,675,184x = 12,893,366,234,972,092,416
  5. Step 5: Solve for x
    x = 12,893,366,234,972,092,416/1,644,675,184
  6. Step 6: Final answer
    x = 7,839,460,557.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.