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Finding the Third Proportional to 14,418,724 and 21,630,957

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Solution

The third proportional to 14,418,724 and 21,630,957 is: 32,450,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,418,724 : 21,630,957 = 21,630,957 : x
  2. Step 2: Convert to fraction form
    14,418,724/21,630,957 = 21,630,957/x
  3. Step 3: Cross multiply
    14,418,724x = 21,630,957 × 21,630,957
  4. Step 4: Simplify right side
    14,418,724x = 467,898,300,735,849
  5. Step 5: Solve for x
    x = 467,898,300,735,849/14,418,724
  6. Step 6: Final answer
    x = 32,450,742.57

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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.