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Finding the Third Proportional to 318,248,384 and 685,466,124

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Solution

The third proportional to 318,248,384 and 685,466,124 is: 1,476,405,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,248,384 : 685,466,124 = 685,466,124 : x
  2. Step 2: Convert to fraction form
    318,248,384/685,466,124 = 685,466,124/x
  3. Step 3: Cross multiply
    318,248,384x = 685,466,124 × 685,466,124
  4. Step 4: Simplify right side
    318,248,384x = 469,863,807,151,583,360
  5. Step 5: Solve for x
    x = 469,863,807,151,583,360/318,248,384
  6. Step 6: Final answer
    x = 1,476,405,948.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.