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Finding the Third Proportional to 256,627,020 and 553,315,992

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Solution

The third proportional to 256,627,020 and 553,315,992 is: 1,193,009,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,627,020 : 553,315,992 = 553,315,992 : x
  2. Step 2: Convert to fraction form
    256,627,020/553,315,992 = 553,315,992/x
  3. Step 3: Cross multiply
    256,627,020x = 553,315,992 × 553,315,992
  4. Step 4: Simplify right side
    256,627,020x = 306,158,587,002,944,064
  5. Step 5: Solve for x
    x = 306,158,587,002,944,064/256,627,020
  6. Step 6: Final answer
    x = 1,193,009,944.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.