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Finding the Third Proportional to 716,058,827 and 1,542,298,714

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Solution

The third proportional to 716,058,827 and 1,542,298,714 is: 3,321,913,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,058,827 : 1,542,298,714 = 1,542,298,714 : x
  2. Step 2: Convert to fraction form
    716,058,827/1,542,298,714 = 1,542,298,714/x
  3. Step 3: Cross multiply
    716,058,827x = 1,542,298,714 × 1,542,298,714
  4. Step 4: Simplify right side
    716,058,827x = 2,378,685,323,206,053,888
  5. Step 5: Solve for x
    x = 2,378,685,323,206,053,888/716,058,827
  6. Step 6: Final answer
    x = 3,321,913,275.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.