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Finding the Third Proportional to 582,475,356 and 1,251,398,360

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Solution

The third proportional to 582,475,356 and 1,251,398,360 is: 2,688,522,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,475,356 : 1,251,398,360 = 1,251,398,360 : x
  2. Step 2: Convert to fraction form
    582,475,356/1,251,398,360 = 1,251,398,360/x
  3. Step 3: Cross multiply
    582,475,356x = 1,251,398,360 × 1,251,398,360
  4. Step 4: Simplify right side
    582,475,356x = 1,565,997,855,410,689,536
  5. Step 5: Solve for x
    x = 1,565,997,855,410,689,536/582,475,356
  6. Step 6: Final answer
    x = 2,688,522,079.57

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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.