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Finding the Third Proportional to 10,957,284 and 17,349,660

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Solution

The third proportional to 10,957,284 and 17,349,660 is: 27,471,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957,284 : 17,349,660 = 17,349,660 : x
  2. Step 2: Convert to fraction form
    10,957,284/17,349,660 = 17,349,660/x
  3. Step 3: Cross multiply
    10,957,284x = 17,349,660 × 17,349,660
  4. Step 4: Simplify right side
    10,957,284x = 301,010,702,115,600
  5. Step 5: Solve for x
    x = 301,010,702,115,600/10,957,284
  6. Step 6: Final answer
    x = 27,471,287.79

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.