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Finding the Third Proportional to 14,152,824 and 21,207,010

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Solution

The third proportional to 14,152,824 and 21,207,010 is: 31,777,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152,824 : 21,207,010 = 21,207,010 : x
  2. Step 2: Convert to fraction form
    14,152,824/21,207,010 = 21,207,010/x
  3. Step 3: Cross multiply
    14,152,824x = 21,207,010 × 21,207,010
  4. Step 4: Simplify right side
    14,152,824x = 449,737,273,140,100
  5. Step 5: Solve for x
    x = 449,737,273,140,100/14,152,824
  6. Step 6: Final answer
    x = 31,777,210.90

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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.