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Finding the Third Proportional to 862,473,714 and 1,876,061,658

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Solution

The third proportional to 862,473,714 and 1,876,061,658 is: 4,080,828,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,473,714 : 1,876,061,658 = 1,876,061,658 : x
  2. Step 2: Convert to fraction form
    862,473,714/1,876,061,658 = 1,876,061,658/x
  3. Step 3: Cross multiply
    862,473,714x = 1,876,061,658 × 1,876,061,658
  4. Step 4: Simplify right side
    862,473,714x = 3,519,607,344,617,709,056
  5. Step 5: Solve for x
    x = 3,519,607,344,617,709,056/862,473,714
  6. Step 6: Final answer
    x = 4,080,828,537.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.