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Finding the Third Proportional to 14,953,347 and 22,405,149

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Solution

The third proportional to 14,953,347 and 22,405,149 is: 33,570,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,953,347 : 22,405,149 = 22,405,149 : x
  2. Step 2: Convert to fraction form
    14,953,347/22,405,149 = 22,405,149/x
  3. Step 3: Cross multiply
    14,953,347x = 22,405,149 × 22,405,149
  4. Step 4: Simplify right side
    14,953,347x = 501,990,701,712,201
  5. Step 5: Solve for x
    x = 501,990,701,712,201/14,953,347
  6. Step 6: Final answer
    x = 33,570,457.62

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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.