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Finding the Third Proportional to 538,389,783 and 1,168,665,360

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Solution

The third proportional to 538,389,783 and 1,168,665,360 is: 2,536,784,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,389,783 : 1,168,665,360 = 1,168,665,360 : x
  2. Step 2: Convert to fraction form
    538,389,783/1,168,665,360 = 1,168,665,360/x
  3. Step 3: Cross multiply
    538,389,783x = 1,168,665,360 × 1,168,665,360
  4. Step 4: Simplify right side
    538,389,783x = 1,365,778,723,663,929,600
  5. Step 5: Solve for x
    x = 1,365,778,723,663,929,600/538,389,783
  6. Step 6: Final answer
    x = 2,536,784,253.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.