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Finding the Third Proportional to 14,664,640 and 22,185,706

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Solution

The third proportional to 14,664,640 and 22,185,706 is: 33,564,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664,640 : 22,185,706 = 22,185,706 : x
  2. Step 2: Convert to fraction form
    14,664,640/22,185,706 = 22,185,706/x
  3. Step 3: Cross multiply
    14,664,640x = 22,185,706 × 22,185,706
  4. Step 4: Simplify right side
    14,664,640x = 492,205,550,718,436
  5. Step 5: Solve for x
    x = 492,205,550,718,436/14,664,640
  6. Step 6: Final answer
    x = 33,564,107.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.