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Finding the Third Proportional to 13,527,322 and 29,971,316

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Solution

The third proportional to 13,527,322 and 29,971,316 is: 66,404,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527,322 : 29,971,316 = 29,971,316 : x
  2. Step 2: Convert to fraction form
    13,527,322/29,971,316 = 29,971,316/x
  3. Step 3: Cross multiply
    13,527,322x = 29,971,316 × 29,971,316
  4. Step 4: Simplify right side
    13,527,322x = 898,279,782,771,856
  5. Step 5: Solve for x
    x = 898,279,782,771,856/13,527,322
  6. Step 6: Final answer
    x = 66,404,849.59

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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.