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Finding the Third Proportional to 403,542,165 and 868,975,296

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Solution

The third proportional to 403,542,165 and 868,975,296 is: 1,871,224,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,542,165 : 868,975,296 = 868,975,296 : x
  2. Step 2: Convert to fraction form
    403,542,165/868,975,296 = 868,975,296/x
  3. Step 3: Cross multiply
    403,542,165x = 868,975,296 × 868,975,296
  4. Step 4: Simplify right side
    403,542,165x = 755,118,065,058,287,616
  5. Step 5: Solve for x
    x = 755,118,065,058,287,616/403,542,165
  6. Step 6: Final answer
    x = 1,871,224,696.08

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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.