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Finding the Third Proportional to 7,815,289 and 11,804,600

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Solution

The third proportional to 7,815,289 and 11,804,600 is: 17,830,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815,289 : 11,804,600 = 11,804,600 : x
  2. Step 2: Convert to fraction form
    7,815,289/11,804,600 = 11,804,600/x
  3. Step 3: Cross multiply
    7,815,289x = 11,804,600 × 11,804,600
  4. Step 4: Simplify right side
    7,815,289x = 139,348,581,160,000
  5. Step 5: Solve for x
    x = 139,348,581,160,000/7,815,289
  6. Step 6: Final answer
    x = 17,830,253.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.