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Finding the Third Proportional to 1,631,891,315,012 and 3,493,024,579,684.30

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Solution

The third proportional to 1,631,891,315,012 and 3,493,024,579,684.30 is: 7,476,736,104,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631,891,315,012 : 3,493,024,579,684.30 = 3,493,024,579,684.30 : x
  2. Step 2: Convert to fraction form
    1,631,891,315,012/3,493,024,579,684.30 = 3,493,024,579,684.30/x
  3. Step 3: Cross multiply
    1,631,891,315,012x = 3,493,024,579,684.30 × 3,493,024,579,684.30
  4. Step 4: Simplify right side
    1,631,891,315,012x = 12,201,220,714,278,679,973,199,872
  5. Step 5: Solve for x
    x = 12,201,220,714,278,679,973,199,872/1,631,891,315,012
  6. Step 6: Final answer
    x = 7,476,736,104,934.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.