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Finding the Third Proportional to 276,160,008 and 595,359,864

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Solution

The third proportional to 276,160,008 and 595,359,864 is: 1,283,507,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,160,008 : 595,359,864 = 595,359,864 : x
  2. Step 2: Convert to fraction form
    276,160,008/595,359,864 = 595,359,864/x
  3. Step 3: Cross multiply
    276,160,008x = 595,359,864 × 595,359,864
  4. Step 4: Simplify right side
    276,160,008x = 354,453,367,662,098,496
  5. Step 5: Solve for x
    x = 354,453,367,662,098,496/276,160,008
  6. Step 6: Final answer
    x = 1,283,507,232.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.