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Finding the Third Proportional to 13,263,984 and 29,316,096

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Solution

The third proportional to 13,263,984 and 29,316,096 is: 64,794,520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,263,984 : 29,316,096 = 29,316,096 : x
  2. Step 2: Convert to fraction form
    13,263,984/29,316,096 = 29,316,096/x
  3. Step 3: Cross multiply
    13,263,984x = 29,316,096 × 29,316,096
  4. Step 4: Simplify right side
    13,263,984x = 859,433,484,681,216
  5. Step 5: Solve for x
    x = 859,433,484,681,216/13,263,984
  6. Step 6: Final answer
    x = 64,794,520.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.