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Finding the Third Proportional to 1,638,277,766 and 3,610,488,724

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Solution

The third proportional to 1,638,277,766 and 3,610,488,724 is: 7,956,910,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,277,766 : 3,610,488,724 = 3,610,488,724 : x
  2. Step 2: Convert to fraction form
    1,638,277,766/3,610,488,724 = 3,610,488,724/x
  3. Step 3: Cross multiply
    1,638,277,766x = 3,610,488,724 × 3,610,488,724
  4. Step 4: Simplify right side
    1,638,277,766x = 13,035,628,826,131,148,800
  5. Step 5: Solve for x
    x = 13,035,628,826,131,148,800/1,638,277,766
  6. Step 6: Final answer
    x = 7,956,910,053.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.