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Finding the Third Proportional to 740,913,382.13 and 1,463,088,538.13

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Solution

The third proportional to 740,913,382.13 and 1,463,088,538.13 is: 2,889,174,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,913,382.13 : 1,463,088,538.13 = 1,463,088,538.13 : x
  2. Step 2: Convert to fraction form
    740,913,382.13/1,463,088,538.13 = 1,463,088,538.13/x
  3. Step 3: Cross multiply
    740,913,382.13x = 1,463,088,538.13 × 1,463,088,538.13
  4. Step 4: Simplify right side
    740,913,382.13x = 2,140,628,070,392,749,568
  5. Step 5: Solve for x
    x = 2,140,628,070,392,749,568/740,913,382.13
  6. Step 6: Final answer
    x = 2,889,174,527.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.