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Finding the Third Proportional to 30,002,835.50 and 65,457,066

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Solution

The third proportional to 30,002,835.50 and 65,457,066 is: 142,807,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002,835.50 : 65,457,066 = 65,457,066 : x
  2. Step 2: Convert to fraction form
    30,002,835.50/65,457,066 = 65,457,066/x
  3. Step 3: Cross multiply
    30,002,835.50x = 65,457,066 × 65,457,066
  4. Step 4: Simplify right side
    30,002,835.50x = 4,284,627,489,328,356
  5. Step 5: Solve for x
    x = 4,284,627,489,328,356/30,002,835.50
  6. Step 6: Final answer
    x = 142,807,418.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.