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Finding the Third Proportional to 953,729,481.38 and 1,288,168,022.25

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Solution

The third proportional to 953,729,481.38 and 1,288,168,022.25 is: 1,739,882,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,729,481.38 : 1,288,168,022.25 = 1,288,168,022.25 : x
  2. Step 2: Convert to fraction form
    953,729,481.38/1,288,168,022.25 = 1,288,168,022.25/x
  3. Step 3: Cross multiply
    953,729,481.38x = 1,288,168,022.25 × 1,288,168,022.25
  4. Step 4: Simplify right side
    953,729,481.38x = 1,659,376,853,547,476,480
  5. Step 5: Solve for x
    x = 1,659,376,853,547,476,480/953,729,481.38
  6. Step 6: Final answer
    x = 1,739,882,100.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.