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Finding the Third Proportional to 582,628,691 and 1,248,361,348

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Solution

The third proportional to 582,628,691 and 1,248,361,348 is: 2,674,784,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,628,691 : 1,248,361,348 = 1,248,361,348 : x
  2. Step 2: Convert to fraction form
    582,628,691/1,248,361,348 = 1,248,361,348/x
  3. Step 3: Cross multiply
    582,628,691x = 1,248,361,348 × 1,248,361,348
  4. Step 4: Simplify right side
    582,628,691x = 1,558,406,055,180,377,088
  5. Step 5: Solve for x
    x = 1,558,406,055,180,377,088/582,628,691
  6. Step 6: Final answer
    x = 2,674,784,265.27

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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.