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Finding the Third Proportional to 863,676,717 and 1,864,974,378

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Solution

The third proportional to 863,676,717 and 1,864,974,378 is: 4,027,119,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,676,717 : 1,864,974,378 = 1,864,974,378 : x
  2. Step 2: Convert to fraction form
    863,676,717/1,864,974,378 = 1,864,974,378/x
  3. Step 3: Cross multiply
    863,676,717x = 1,864,974,378 × 1,864,974,378
  4. Step 4: Simplify right side
    863,676,717x = 3,478,129,430,596,486,656
  5. Step 5: Solve for x
    x = 3,478,129,430,596,486,656/863,676,717
  6. Step 6: Final answer
    x = 4,027,119,594.79

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