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Finding the Third Proportional to 582,688,656 and 1,248,018,336

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Solution

The third proportional to 582,688,656 and 1,248,018,336 is: 2,673,039,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,688,656 : 1,248,018,336 = 1,248,018,336 : x
  2. Step 2: Convert to fraction form
    582,688,656/1,248,018,336 = 1,248,018,336/x
  3. Step 3: Cross multiply
    582,688,656x = 1,248,018,336 × 1,248,018,336
  4. Step 4: Simplify right side
    582,688,656x = 1,557,549,766,992,208,896
  5. Step 5: Solve for x
    x = 1,557,549,766,992,208,896/582,688,656
  6. Step 6: Final answer
    x = 2,673,039,454.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.