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Finding the Third Proportional to 5,838,774 and 9,297,783

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Solution

The third proportional to 5,838,774 and 9,297,783 is: 14,805,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838,774 : 9,297,783 = 9,297,783 : x
  2. Step 2: Convert to fraction form
    5,838,774/9,297,783 = 9,297,783/x
  3. Step 3: Cross multiply
    5,838,774x = 9,297,783 × 9,297,783
  4. Step 4: Simplify right side
    5,838,774x = 86,448,768,715,089
  5. Step 5: Solve for x
    x = 86,448,768,715,089/5,838,774
  6. Step 6: Final answer
    x = 14,805,979.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.