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Finding the Third Proportional to 360,611,062 and 538,793,916

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Solution

The third proportional to 360,611,062 and 538,793,916 is: 805,019,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,611,062 : 538,793,916 = 538,793,916 : x
  2. Step 2: Convert to fraction form
    360,611,062/538,793,916 = 538,793,916/x
  3. Step 3: Cross multiply
    360,611,062x = 538,793,916 × 538,793,916
  4. Step 4: Simplify right side
    360,611,062x = 290,298,883,918,615,040
  5. Step 5: Solve for x
    x = 290,298,883,918,615,040/360,611,062
  6. Step 6: Final answer
    x = 805,019,353.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.