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Finding the Third Proportional to 323,878,606 and 699,365,081

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Solution

The third proportional to 323,878,606 and 699,365,081 is: 1,510,169,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,878,606 : 699,365,081 = 699,365,081 : x
  2. Step 2: Convert to fraction form
    323,878,606/699,365,081 = 699,365,081/x
  3. Step 3: Cross multiply
    323,878,606x = 699,365,081 × 699,365,081
  4. Step 4: Simplify right side
    323,878,606x = 489,111,516,522,136,576
  5. Step 5: Solve for x
    x = 489,111,516,522,136,576/323,878,606
  6. Step 6: Final answer
    x = 1,510,169,265.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.