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Finding the Third Proportional to 7,457,402 and 11,515,787

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Solution

The third proportional to 7,457,402 and 11,515,787 is: 17,782,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457,402 : 11,515,787 = 11,515,787 : x
  2. Step 2: Convert to fraction form
    7,457,402/11,515,787 = 11,515,787/x
  3. Step 3: Cross multiply
    7,457,402x = 11,515,787 × 11,515,787
  4. Step 4: Simplify right side
    7,457,402x = 132,613,350,229,369
  5. Step 5: Solve for x
    x = 132,613,350,229,369/7,457,402
  6. Step 6: Final answer
    x = 17,782,781.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.