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Finding the Third Proportional to 1,581,081,846 and 3,434,338,020

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Solution

The third proportional to 1,581,081,846 and 3,434,338,020 is: 7,459,877,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,081,846 : 3,434,338,020 = 3,434,338,020 : x
  2. Step 2: Convert to fraction form
    1,581,081,846/3,434,338,020 = 3,434,338,020/x
  3. Step 3: Cross multiply
    1,581,081,846x = 3,434,338,020 × 3,434,338,020
  4. Step 4: Simplify right side
    1,581,081,846x = 11,794,677,635,617,519,616
  5. Step 5: Solve for x
    x = 11,794,677,635,617,519,616/1,581,081,846
  6. Step 6: Final answer
    x = 7,459,877,972.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.