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Finding the Third Proportional to 6,301,354.50 and 13,822,569

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Solution

The third proportional to 6,301,354.50 and 13,822,569 is: 30,321,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,354.50 : 13,822,569 = 13,822,569 : x
  2. Step 2: Convert to fraction form
    6,301,354.50/13,822,569 = 13,822,569/x
  3. Step 3: Cross multiply
    6,301,354.50x = 13,822,569 × 13,822,569
  4. Step 4: Simplify right side
    6,301,354.50x = 191,063,413,759,761
  5. Step 5: Solve for x
    x = 191,063,413,759,761/6,301,354.50
  6. Step 6: Final answer
    x = 30,321,006.98

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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.