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Finding the Third Proportional to 383,819,258 and 547,019,871

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Solution

The third proportional to 383,819,258 and 547,019,871 is: 779,613,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,819,258 : 547,019,871 = 547,019,871 : x
  2. Step 2: Convert to fraction form
    383,819,258/547,019,871 = 547,019,871/x
  3. Step 3: Cross multiply
    383,819,258x = 547,019,871 × 547,019,871
  4. Step 4: Simplify right side
    383,819,258x = 299,230,739,268,856,640
  5. Step 5: Solve for x
    x = 299,230,739,268,856,640/383,819,258
  6. Step 6: Final answer
    x = 779,613,667.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.