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Finding the Third Proportional to 1,581,081,840 and 3,434,338,008

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Solution

The third proportional to 1,581,081,840 and 3,434,338,008 is: 7,459,877,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,081,840 : 3,434,338,008 = 3,434,338,008 : x
  2. Step 2: Convert to fraction form
    1,581,081,840/3,434,338,008 = 3,434,338,008/x
  3. Step 3: Cross multiply
    1,581,081,840x = 3,434,338,008 × 3,434,338,008
  4. Step 4: Simplify right side
    1,581,081,840x = 11,794,677,553,193,408,512
  5. Step 5: Solve for x
    x = 11,794,677,553,193,408,512/1,581,081,840
  6. Step 6: Final answer
    x = 7,459,877,948.63

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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.