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Finding the Third Proportional to 34,954,002.75 and 52,430,988

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Solution

The third proportional to 34,954,002.75 and 52,430,988 is: 78,646,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,954,002.75 : 52,430,988 = 52,430,988 : x
  2. Step 2: Convert to fraction form
    34,954,002.75/52,430,988 = 52,430,988/x
  3. Step 3: Cross multiply
    34,954,002.75x = 52,430,988 × 52,430,988
  4. Step 4: Simplify right side
    34,954,002.75x = 2,749,008,502,656,144
  5. Step 5: Solve for x
    x = 2,749,008,502,656,144/34,954,002.75
  6. Step 6: Final answer
    x = 78,646,457.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.