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Finding the Third Proportional to 2,559,599,922 and 3,822,627,042

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Solution

The third proportional to 2,559,599,922 and 3,822,627,042 is: 5,708,891,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559,599,922 : 3,822,627,042 = 3,822,627,042 : x
  2. Step 2: Convert to fraction form
    2,559,599,922/3,822,627,042 = 3,822,627,042/x
  3. Step 3: Cross multiply
    2,559,599,922x = 3,822,627,042 × 3,822,627,042
  4. Step 4: Simplify right side
    2,559,599,922x = 14,612,477,502,229,669,888
  5. Step 5: Solve for x
    x = 14,612,477,502,229,669,888/2,559,599,922
  6. Step 6: Final answer
    x = 5,708,891,212.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.