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Finding the Third Proportional to 13,031,293.50 and 19,478,052

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Solution

The third proportional to 13,031,293.50 and 19,478,052 is: 29,114,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031,293.50 : 19,478,052 = 19,478,052 : x
  2. Step 2: Convert to fraction form
    13,031,293.50/19,478,052 = 19,478,052/x
  3. Step 3: Cross multiply
    13,031,293.50x = 19,478,052 × 19,478,052
  4. Step 4: Simplify right side
    13,031,293.50x = 379,394,509,714,704
  5. Step 5: Solve for x
    x = 379,394,509,714,704/13,031,293.50
  6. Step 6: Final answer
    x = 29,114,109.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.