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Finding the Third Proportional to 202,328,410 and 477,464,871

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Solution

The third proportional to 202,328,410 and 477,464,871 is: 1,126,745,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,328,410 : 477,464,871 = 477,464,871 : x
  2. Step 2: Convert to fraction form
    202,328,410/477,464,871 = 477,464,871/x
  3. Step 3: Cross multiply
    202,328,410x = 477,464,871 × 477,464,871
  4. Step 4: Simplify right side
    202,328,410x = 227,972,703,039,046,656
  5. Step 5: Solve for x
    x = 227,972,703,039,046,656/202,328,410
  6. Step 6: Final answer
    x = 1,126,745,883.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.