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Finding the Third Proportional to 127,603,009 and 279,908,210

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Solution

The third proportional to 127,603,009 and 279,908,210 is: 614,002,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,603,009 : 279,908,210 = 279,908,210 : x
  2. Step 2: Convert to fraction form
    127,603,009/279,908,210 = 279,908,210/x
  3. Step 3: Cross multiply
    127,603,009x = 279,908,210 × 279,908,210
  4. Step 4: Simplify right side
    127,603,009x = 78,348,606,025,404,096
  5. Step 5: Solve for x
    x = 78,348,606,025,404,096/127,603,009
  6. Step 6: Final answer
    x = 614,002,809.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.