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Finding the Third Proportional to 1,581,081,842 and 3,434,338,012

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Solution

The third proportional to 1,581,081,842 and 3,434,338,012 is: 7,459,877,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,081,842 : 3,434,338,012 = 3,434,338,012 : x
  2. Step 2: Convert to fraction form
    1,581,081,842/3,434,338,012 = 3,434,338,012/x
  3. Step 3: Cross multiply
    1,581,081,842x = 3,434,338,012 × 3,434,338,012
  4. Step 4: Simplify right side
    1,581,081,842x = 11,794,677,580,668,112,896
  5. Step 5: Solve for x
    x = 11,794,677,580,668,112,896/1,581,081,842
  6. Step 6: Final answer
    x = 7,459,877,956.57

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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.