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Finding the Third Proportional to 740,221,093.70 and 1,645,945,059.08

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Solution

The third proportional to 740,221,093.70 and 1,645,945,059.08 is: 3,659,899,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,221,093.70 : 1,645,945,059.08 = 1,645,945,059.08 : x
  2. Step 2: Convert to fraction form
    740,221,093.70/1,645,945,059.08 = 1,645,945,059.08/x
  3. Step 3: Cross multiply
    740,221,093.70x = 1,645,945,059.08 × 1,645,945,059.08
  4. Step 4: Simplify right side
    740,221,093.70x = 2,709,135,137,503,609,856
  5. Step 5: Solve for x
    x = 2,709,135,137,503,609,856/740,221,093.70
  6. Step 6: Final answer
    x = 3,659,899,941.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.