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Finding the Third Proportional to 347,254,507,451 and 752,211,967,423

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Solution

The third proportional to 347,254,507,451 and 752,211,967,423 is: 1,629,418,284,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,254,507,451 : 752,211,967,423 = 752,211,967,423 : x
  2. Step 2: Convert to fraction form
    347,254,507,451/752,211,967,423 = 752,211,967,423/x
  3. Step 3: Cross multiply
    347,254,507,451x = 752,211,967,423 × 752,211,967,423
  4. Step 4: Simplify right side
    347,254,507,451x = 565,822,843,934,380,405,030,912
  5. Step 5: Solve for x
    x = 565,822,843,934,380,405,030,912/347,254,507,451
  6. Step 6: Final answer
    x = 1,629,418,284,841.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.