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Finding the Third Proportional to 471,329,699,500 and 1,033,911,256,660

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Solution

The third proportional to 471,329,699,500 and 1,033,911,256,660 is: 2,267,993,058,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,329,699,500 : 1,033,911,256,660 = 1,033,911,256,660 : x
  2. Step 2: Convert to fraction form
    471,329,699,500/1,033,911,256,660 = 1,033,911,256,660/x
  3. Step 3: Cross multiply
    471,329,699,500x = 1,033,911,256,660 × 1,033,911,256,660
  4. Step 4: Simplify right side
    471,329,699,500x = 1,068,972,486,648,260,418,600,960
  5. Step 5: Solve for x
    x = 1,068,972,486,648,260,418,600,960/471,329,699,500
  6. Step 6: Final answer
    x = 2,267,993,058,324.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.