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Finding the Third Proportional to 716,058,840 and 1,542,298,741

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Solution

The third proportional to 716,058,840 and 1,542,298,741 is: 3,321,913,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,058,840 : 1,542,298,741 = 1,542,298,741 : x
  2. Step 2: Convert to fraction form
    716,058,840/1,542,298,741 = 1,542,298,741/x
  3. Step 3: Cross multiply
    716,058,840x = 1,542,298,741 × 1,542,298,741
  4. Step 4: Simplify right side
    716,058,840x = 2,378,685,406,490,185,216
  5. Step 5: Solve for x
    x = 2,378,685,406,490,185,216/716,058,840
  6. Step 6: Final answer
    x = 3,321,913,331.16

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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.