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Finding the Third Proportional to 5,838,757 and 9,297,757.50

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Solution

The third proportional to 5,838,757 and 9,297,757.50 is: 14,805,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838,757 : 9,297,757.50 = 9,297,757.50 : x
  2. Step 2: Convert to fraction form
    5,838,757/9,297,757.50 = 9,297,757.50/x
  3. Step 3: Cross multiply
    5,838,757x = 9,297,757.50 × 9,297,757.50
  4. Step 4: Simplify right side
    5,838,757x = 86,448,294,528,806.25
  5. Step 5: Solve for x
    x = 86,448,294,528,806.25/5,838,757
  6. Step 6: Final answer
    x = 14,805,941.49

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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.