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Finding the Third Proportional to 1,035,789,740 and 2,218,954,120

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Solution

The third proportional to 1,035,789,740 and 2,218,954,120 is: 4,753,626,336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,789,740 : 2,218,954,120 = 2,218,954,120 : x
  2. Step 2: Convert to fraction form
    1,035,789,740/2,218,954,120 = 2,218,954,120/x
  3. Step 3: Cross multiply
    1,035,789,740x = 2,218,954,120 × 2,218,954,120
  4. Step 4: Simplify right side
    1,035,789,740x = 4,923,757,386,664,974,336
  5. Step 5: Solve for x
    x = 4,923,757,386,664,974,336/1,035,789,740
  6. Step 6: Final answer
    x = 4,753,626,336.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.