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Finding the Third Proportional to 273,259,896 and 595,038,374

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Solution

The third proportional to 273,259,896 and 595,038,374 is: 1,295,728,614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,259,896 : 595,038,374 = 595,038,374 : x
  2. Step 2: Convert to fraction form
    273,259,896/595,038,374 = 595,038,374/x
  3. Step 3: Cross multiply
    273,259,896x = 595,038,374 × 595,038,374
  4. Step 4: Simplify right side
    273,259,896x = 354,070,666,532,563,904
  5. Step 5: Solve for x
    x = 354,070,666,532,563,904/273,259,896
  6. Step 6: Final answer
    x = 1,295,728,614.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.