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Finding the Third Proportional to 1,797,056,241,424.80 and 3,644,117,671,882.20

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Solution

The third proportional to 1,797,056,241,424.80 and 3,644,117,671,882.20 is: 7,389,637,174,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797,056,241,424.80 : 3,644,117,671,882.20 = 3,644,117,671,882.20 : x
  2. Step 2: Convert to fraction form
    1,797,056,241,424.80/3,644,117,671,882.20 = 3,644,117,671,882.20/x
  3. Step 3: Cross multiply
    1,797,056,241,424.80x = 3,644,117,671,882.20 × 3,644,117,671,882.20
  4. Step 4: Simplify right side
    1,797,056,241,424.80x = 13,279,593,606,524,146,636,816,384
  5. Step 5: Solve for x
    x = 13,279,593,606,524,146,636,816,384/1,797,056,241,424.80
  6. Step 6: Final answer
    x = 7,389,637,174,624.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.