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Finding the Third Proportional to 7,429,076.68 and 10,265,299.59

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Solution

The third proportional to 7,429,076.68 and 10,265,299.59 is: 14,184,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429,076.68 : 10,265,299.59 = 10,265,299.59 : x
  2. Step 2: Convert to fraction form
    7,429,076.68/10,265,299.59 = 10,265,299.59/x
  3. Step 3: Cross multiply
    7,429,076.68x = 10,265,299.59 × 10,265,299.59
  4. Step 4: Simplify right side
    7,429,076.68x = 105,376,375,749,443.92
  5. Step 5: Solve for x
    x = 105,376,375,749,443.92/7,429,076.68
  6. Step 6: Final answer
    x = 14,184,316.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.