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Finding the Third Proportional to 14,211,072 and 21,582,566

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Solution

The third proportional to 14,211,072 and 21,582,566 is: 32,777,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211,072 : 21,582,566 = 21,582,566 : x
  2. Step 2: Convert to fraction form
    14,211,072/21,582,566 = 21,582,566/x
  3. Step 3: Cross multiply
    14,211,072x = 21,582,566 × 21,582,566
  4. Step 4: Simplify right side
    14,211,072x = 465,807,155,144,356
  5. Step 5: Solve for x
    x = 465,807,155,144,356/14,211,072
  6. Step 6: Final answer
    x = 32,777,763.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.