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Finding the Third Proportional to 5,897,035 and 12,613,810

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Solution

The third proportional to 5,897,035 and 12,613,810 is: 26,981,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897,035 : 12,613,810 = 12,613,810 : x
  2. Step 2: Convert to fraction form
    5,897,035/12,613,810 = 12,613,810/x
  3. Step 3: Cross multiply
    5,897,035x = 12,613,810 × 12,613,810
  4. Step 4: Simplify right side
    5,897,035x = 159,108,202,716,100
  5. Step 5: Solve for x
    x = 159,108,202,716,100/5,897,035
  6. Step 6: Final answer
    x = 26,981,051.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.