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Finding the Third Proportional to 4,447,993 and 9,762,038

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Solution

The third proportional to 4,447,993 and 9,762,038 is: 21,424,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447,993 : 9,762,038 = 9,762,038 : x
  2. Step 2: Convert to fraction form
    4,447,993/9,762,038 = 9,762,038/x
  3. Step 3: Cross multiply
    4,447,993x = 9,762,038 × 9,762,038
  4. Step 4: Simplify right side
    4,447,993x = 95,297,385,913,444
  5. Step 5: Solve for x
    x = 95,297,385,913,444/4,447,993
  6. Step 6: Final answer
    x = 21,424,805.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.