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Finding the Third Proportional to 209,410,002 and 460,360,968

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Solution

The third proportional to 209,410,002 and 460,360,968 is: 1,012,044,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,410,002 : 460,360,968 = 460,360,968 : x
  2. Step 2: Convert to fraction form
    209,410,002/460,360,968 = 460,360,968/x
  3. Step 3: Cross multiply
    209,410,002x = 460,360,968 × 460,360,968
  4. Step 4: Simplify right side
    209,410,002x = 211,932,220,857,897,024
  5. Step 5: Solve for x
    x = 211,932,220,857,897,024/209,410,002
  6. Step 6: Final answer
    x = 1,012,044,404.92

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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.