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Finding the Third Proportional to 1,954,065,648 and 4,214,232,672

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Solution

The third proportional to 1,954,065,648 and 4,214,232,672 is: 9,088,618,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,065,648 : 4,214,232,672 = 4,214,232,672 : x
  2. Step 2: Convert to fraction form
    1,954,065,648/4,214,232,672 = 4,214,232,672/x
  3. Step 3: Cross multiply
    1,954,065,648x = 4,214,232,672 × 4,214,232,672
  4. Step 4: Simplify right side
    1,954,065,648x = 17,759,757,013,752,258,560
  5. Step 5: Solve for x
    x = 17,759,757,013,752,258,560/1,954,065,648
  6. Step 6: Final answer
    x = 9,088,618,405.39

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Why These Related Problems?

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