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Finding the Third Proportional to 45,284,845 and 99,466,082

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Solution

The third proportional to 45,284,845 and 99,466,082 is: 218,472,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284,845 : 99,466,082 = 99,466,082 : x
  2. Step 2: Convert to fraction form
    45,284,845/99,466,082 = 99,466,082/x
  3. Step 3: Cross multiply
    45,284,845x = 99,466,082 × 99,466,082
  4. Step 4: Simplify right side
    45,284,845x = 9,893,501,468,430,724
  5. Step 5: Solve for x
    x = 9,893,501,468,430,724/45,284,845
  6. Step 6: Final answer
    x = 218,472,680.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.