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Finding the Third Proportional to 14,866,688 and 20,936,256

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Solution

The third proportional to 14,866,688 and 20,936,256 is: 29,483,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866,688 : 20,936,256 = 20,936,256 : x
  2. Step 2: Convert to fraction form
    14,866,688/20,936,256 = 20,936,256/x
  3. Step 3: Cross multiply
    14,866,688x = 20,936,256 × 20,936,256
  4. Step 4: Simplify right side
    14,866,688x = 438,326,815,297,536
  5. Step 5: Solve for x
    x = 438,326,815,297,536/14,866,688
  6. Step 6: Final answer
    x = 29,483,824.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.