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Finding the Third Proportional to 1,212,924,912 and 1,863,201,177

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Solution

The third proportional to 1,212,924,912 and 1,863,201,177 is: 2,862,105,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,924,912 : 1,863,201,177 = 1,863,201,177 : x
  2. Step 2: Convert to fraction form
    1,212,924,912/1,863,201,177 = 1,863,201,177/x
  3. Step 3: Cross multiply
    1,212,924,912x = 1,863,201,177 × 1,863,201,177
  4. Step 4: Simplify right side
    1,212,924,912x = 3,471,518,625,974,185,472
  5. Step 5: Solve for x
    x = 3,471,518,625,974,185,472/1,212,924,912
  6. Step 6: Final answer
    x = 2,862,105,140.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.