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Finding the Third Proportional to 127,857,852 and 276,145,506

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Solution

The third proportional to 127,857,852 and 276,145,506 is: 596,414,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,857,852 : 276,145,506 = 276,145,506 : x
  2. Step 2: Convert to fraction form
    127,857,852/276,145,506 = 276,145,506/x
  3. Step 3: Cross multiply
    127,857,852x = 276,145,506 × 276,145,506
  4. Step 4: Simplify right side
    127,857,852x = 76,256,340,483,996,032
  5. Step 5: Solve for x
    x = 76,256,340,483,996,032/127,857,852
  6. Step 6: Final answer
    x = 596,414,997.52

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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.