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Finding the Third Proportional to 540,650,268 and 837,538,218

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Solution

The third proportional to 540,650,268 and 837,538,218 is: 1,297,456,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,650,268 : 837,538,218 = 837,538,218 : x
  2. Step 2: Convert to fraction form
    540,650,268/837,538,218 = 837,538,218/x
  3. Step 3: Cross multiply
    540,650,268x = 837,538,218 × 837,538,218
  4. Step 4: Simplify right side
    540,650,268x = 701,470,266,610,615,552
  5. Step 5: Solve for x
    x = 701,470,266,610,615,552/540,650,268
  6. Step 6: Final answer
    x = 1,297,456,614.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.