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Finding the Third Proportional to 582,475,354 and 1,251,398,356

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Solution

The third proportional to 582,475,354 and 1,251,398,356 is: 2,688,522,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,475,354 : 1,251,398,356 = 1,251,398,356 : x
  2. Step 2: Convert to fraction form
    582,475,354/1,251,398,356 = 1,251,398,356/x
  3. Step 3: Cross multiply
    582,475,354x = 1,251,398,356 × 1,251,398,356
  4. Step 4: Simplify right side
    582,475,354x = 1,565,997,845,399,502,848
  5. Step 5: Solve for x
    x = 1,565,997,845,399,502,848/582,475,354
  6. Step 6: Final answer
    x = 2,688,522,071.61

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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.