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Finding the Third Proportional to 310,431,180.38 and 675,974,760.75

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Solution

The third proportional to 310,431,180.38 and 675,974,760.75 is: 1,471,958,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,431,180.38 : 675,974,760.75 = 675,974,760.75 : x
  2. Step 2: Convert to fraction form
    310,431,180.38/675,974,760.75 = 675,974,760.75/x
  3. Step 3: Cross multiply
    310,431,180.38x = 675,974,760.75 × 675,974,760.75
  4. Step 4: Simplify right side
    310,431,180.38x = 456,941,877,171,019,712
  5. Step 5: Solve for x
    x = 456,941,877,171,019,712/310,431,180.38
  6. Step 6: Final answer
    x = 1,471,958,701.50

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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.