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Finding the Third Proportional to 956,014,203.38 and 2,057,311,069.88

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Solution

The third proportional to 956,014,203.38 and 2,057,311,069.88 is: 4,427,265,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,014,203.38 : 2,057,311,069.88 = 2,057,311,069.88 : x
  2. Step 2: Convert to fraction form
    956,014,203.38/2,057,311,069.88 = 2,057,311,069.88/x
  3. Step 3: Cross multiply
    956,014,203.38x = 2,057,311,069.88 × 2,057,311,069.88
  4. Step 4: Simplify right side
    956,014,203.38x = 4,232,528,838,230,217,216
  5. Step 5: Solve for x
    x = 4,232,528,838,230,217,216/956,014,203.38
  6. Step 6: Final answer
    x = 4,427,265,644.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.