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Finding the Third Proportional to 471,329,699,490 and 1,033,911,256,644

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Solution

The third proportional to 471,329,699,490 and 1,033,911,256,644 is: 2,267,993,058,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,329,699,490 : 1,033,911,256,644 = 1,033,911,256,644 : x
  2. Step 2: Convert to fraction form
    471,329,699,490/1,033,911,256,644 = 1,033,911,256,644/x
  3. Step 3: Cross multiply
    471,329,699,490x = 1,033,911,256,644 × 1,033,911,256,644
  4. Step 4: Simplify right side
    471,329,699,490x = 1,068,972,486,615,175,211,778,048
  5. Step 5: Solve for x
    x = 1,068,972,486,615,175,211,778,048/471,329,699,490
  6. Step 6: Final answer
    x = 2,267,993,058,302.61

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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.