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Finding the Third Proportional to 5,174,318 and 10,884,865

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Solution

The third proportional to 5,174,318 and 10,884,865 is: 22,897,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,318 : 10,884,865 = 10,884,865 : x
  2. Step 2: Convert to fraction form
    5,174,318/10,884,865 = 10,884,865/x
  3. Step 3: Cross multiply
    5,174,318x = 10,884,865 × 10,884,865
  4. Step 4: Simplify right side
    5,174,318x = 118,480,286,068,225
  5. Step 5: Solve for x
    x = 118,480,286,068,225/5,174,318
  6. Step 6: Final answer
    x = 22,897,758.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.