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Finding the Third Proportional to 2,472,038 and 5,953,316

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Solution

The third proportional to 2,472,038 and 5,953,316 is: 14,337,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,038 : 5,953,316 = 5,953,316 : x
  2. Step 2: Convert to fraction form
    2,472,038/5,953,316 = 5,953,316/x
  3. Step 3: Cross multiply
    2,472,038x = 5,953,316 × 5,953,316
  4. Step 4: Simplify right side
    2,472,038x = 35,441,971,395,856
  5. Step 5: Solve for x
    x = 35,441,971,395,856/2,472,038
  6. Step 6: Final answer
    x = 14,337,146.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.