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Finding the Third Proportional to 1,525,063,714 and 2,356,612,327

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Solution

The third proportional to 1,525,063,714 and 2,356,612,327 is: 3,641,566,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,063,714 : 2,356,612,327 = 2,356,612,327 : x
  2. Step 2: Convert to fraction form
    1,525,063,714/2,356,612,327 = 2,356,612,327/x
  3. Step 3: Cross multiply
    1,525,063,714x = 2,356,612,327 × 2,356,612,327
  4. Step 4: Simplify right side
    1,525,063,714x = 5,553,621,659,768,354,816
  5. Step 5: Solve for x
    x = 5,553,621,659,768,354,816/1,525,063,714
  6. Step 6: Final answer
    x = 3,641,566,977.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.