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Finding the Third Proportional to 9,633,284 and 14,402,694

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Solution

The third proportional to 9,633,284 and 14,402,694 is: 21,533,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633,284 : 14,402,694 = 14,402,694 : x
  2. Step 2: Convert to fraction form
    9,633,284/14,402,694 = 14,402,694/x
  3. Step 3: Cross multiply
    9,633,284x = 14,402,694 × 14,402,694
  4. Step 4: Simplify right side
    9,633,284x = 207,437,594,457,636
  5. Step 5: Solve for x
    x = 207,437,594,457,636/9,633,284
  6. Step 6: Final answer
    x = 21,533,424.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.