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Finding the Third Proportional to 4,730,021 and 10,375,684

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Solution

The third proportional to 4,730,021 and 10,375,684 is: 22,759,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730,021 : 10,375,684 = 10,375,684 : x
  2. Step 2: Convert to fraction form
    4,730,021/10,375,684 = 10,375,684/x
  3. Step 3: Cross multiply
    4,730,021x = 10,375,684 × 10,375,684
  4. Step 4: Simplify right side
    4,730,021x = 107,654,818,467,856
  5. Step 5: Solve for x
    x = 107,654,818,467,856/4,730,021
  6. Step 6: Final answer
    x = 22,759,902.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.