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Finding the Third Proportional to 1,187,832,728.25 and 1,797,037,427.25

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Solution

The third proportional to 1,187,832,728.25 and 1,797,037,427.25 is: 2,718,685,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,832,728.25 : 1,797,037,427.25 = 1,797,037,427.25 : x
  2. Step 2: Convert to fraction form
    1,187,832,728.25/1,797,037,427.25 = 1,797,037,427.25/x
  3. Step 3: Cross multiply
    1,187,832,728.25x = 1,797,037,427.25 × 1,797,037,427.25
  4. Step 4: Simplify right side
    1,187,832,728.25x = 3,229,343,514,937,298,944
  5. Step 5: Solve for x
    x = 3,229,343,514,937,298,944/1,187,832,728.25
  6. Step 6: Final answer
    x = 2,718,685,416.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.