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Finding the Third Proportional to 459,707,279,632 and 1,074,083,674,358

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Solution

The third proportional to 459,707,279,632 and 1,074,083,674,358 is: 2,509,544,204,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,707,279,632 : 1,074,083,674,358 = 1,074,083,674,358 : x
  2. Step 2: Convert to fraction form
    459,707,279,632/1,074,083,674,358 = 1,074,083,674,358/x
  3. Step 3: Cross multiply
    459,707,279,632x = 1,074,083,674,358 × 1,074,083,674,358
  4. Step 4: Simplify right side
    459,707,279,632x = 1,153,655,739,522,382,234,124,288
  5. Step 5: Solve for x
    x = 1,153,655,739,522,382,234,124,288/459,707,279,632
  6. Step 6: Final answer
    x = 2,509,544,204,838.12

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.