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Finding the Third Proportional to 956,014,205 and 2,057,311,074

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Solution

The third proportional to 956,014,205 and 2,057,311,074 is: 4,427,265,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,014,205 : 2,057,311,074 = 2,057,311,074 : x
  2. Step 2: Convert to fraction form
    956,014,205/2,057,311,074 = 2,057,311,074/x
  3. Step 3: Cross multiply
    956,014,205x = 2,057,311,074 × 2,057,311,074
  4. Step 4: Simplify right side
    956,014,205x = 4,232,528,855,203,033,600
  5. Step 5: Solve for x
    x = 4,232,528,855,203,033,600/956,014,205
  6. Step 6: Final answer
    x = 4,427,265,654.70

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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.