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Finding the Third Proportional to 562,555,467 and 1,211,514,768

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Solution

The third proportional to 562,555,467 and 1,211,514,768 is: 2,609,108,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,555,467 : 1,211,514,768 = 1,211,514,768 : x
  2. Step 2: Convert to fraction form
    562,555,467/1,211,514,768 = 1,211,514,768/x
  3. Step 3: Cross multiply
    562,555,467x = 1,211,514,768 × 1,211,514,768
  4. Step 4: Simplify right side
    562,555,467x = 1,467,768,033,082,093,824
  5. Step 5: Solve for x
    x = 1,467,768,033,082,093,824/562,555,467
  6. Step 6: Final answer
    x = 2,609,108,113.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.