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Finding the Third Proportional to 10,505,478 and 22,580,316

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Solution

The third proportional to 10,505,478 and 22,580,316 is: 48,533,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505,478 : 22,580,316 = 22,580,316 : x
  2. Step 2: Convert to fraction form
    10,505,478/22,580,316 = 22,580,316/x
  3. Step 3: Cross multiply
    10,505,478x = 22,580,316 × 22,580,316
  4. Step 4: Simplify right side
    10,505,478x = 509,870,670,659,856
  5. Step 5: Solve for x
    x = 509,870,670,659,856/10,505,478
  6. Step 6: Final answer
    x = 48,533,790.72

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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.