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Finding the Third Proportional to 13,877,673.75 and 20,343,024

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Solution

The third proportional to 13,877,673.75 and 20,343,024 is: 29,820,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877,673.75 : 20,343,024 = 20,343,024 : x
  2. Step 2: Convert to fraction form
    13,877,673.75/20,343,024 = 20,343,024/x
  3. Step 3: Cross multiply
    13,877,673.75x = 20,343,024 × 20,343,024
  4. Step 4: Simplify right side
    13,877,673.75x = 413,838,625,464,576
  5. Step 5: Solve for x
    x = 413,838,625,464,576/13,877,673.75
  6. Step 6: Final answer
    x = 29,820,460.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.