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Finding the Third Proportional to 7,893,830 and 17,263,948

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Solution

The third proportional to 7,893,830 and 17,263,948 is: 37,756,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893,830 : 17,263,948 = 17,263,948 : x
  2. Step 2: Convert to fraction form
    7,893,830/17,263,948 = 17,263,948/x
  3. Step 3: Cross multiply
    7,893,830x = 17,263,948 × 17,263,948
  4. Step 4: Simplify right side
    7,893,830x = 298,043,900,546,704
  5. Step 5: Solve for x
    x = 298,043,900,546,704/7,893,830
  6. Step 6: Final answer
    x = 37,756,564.37

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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.