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Finding the Third Proportional to 351,452,458.13 and 731,994,422.63

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Solution

The third proportional to 351,452,458.13 and 731,994,422.63 is: 1,524,575,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,452,458.13 : 731,994,422.63 = 731,994,422.63 : x
  2. Step 2: Convert to fraction form
    351,452,458.13/731,994,422.63 = 731,994,422.63/x
  3. Step 3: Cross multiply
    351,452,458.13x = 731,994,422.63 × 731,994,422.63
  4. Step 4: Simplify right side
    351,452,458.13x = 535,815,834,754,107,136
  5. Step 5: Solve for x
    x = 535,815,834,754,107,136/351,452,458.13
  6. Step 6: Final answer
    x = 1,524,575,578.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.