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Finding the Third Proportional to 318,851,712 and 663,151,024

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Solution

The third proportional to 318,851,712 and 663,151,024 is: 1,379,228,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,851,712 : 663,151,024 = 663,151,024 : x
  2. Step 2: Convert to fraction form
    318,851,712/663,151,024 = 663,151,024/x
  3. Step 3: Cross multiply
    318,851,712x = 663,151,024 × 663,151,024
  4. Step 4: Simplify right side
    318,851,712x = 439,769,280,632,248,576
  5. Step 5: Solve for x
    x = 439,769,280,632,248,576/318,851,712
  6. Step 6: Final answer
    x = 1,379,228,224.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.