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Finding the Third Proportional to 282,301,166 and 611,502,002

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Solution

The third proportional to 282,301,166 and 611,502,002 is: 1,324,594,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,301,166 : 611,502,002 = 611,502,002 : x
  2. Step 2: Convert to fraction form
    282,301,166/611,502,002 = 611,502,002/x
  3. Step 3: Cross multiply
    282,301,166x = 611,502,002 × 611,502,002
  4. Step 4: Simplify right side
    282,301,166x = 373,934,698,450,008,000
  5. Step 5: Solve for x
    x = 373,934,698,450,008,000/282,301,166
  6. Step 6: Final answer
    x = 1,324,594,948.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.