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Finding the Third Proportional to 9,407,340 and 20,608,263

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Solution

The third proportional to 9,407,340 and 20,608,263 is: 45,145,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407,340 : 20,608,263 = 20,608,263 : x
  2. Step 2: Convert to fraction form
    9,407,340/20,608,263 = 20,608,263/x
  3. Step 3: Cross multiply
    9,407,340x = 20,608,263 × 20,608,263
  4. Step 4: Simplify right side
    9,407,340x = 424,700,503,877,169
  5. Step 5: Solve for x
    x = 424,700,503,877,169/9,407,340
  6. Step 6: Final answer
    x = 45,145,652.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.