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Finding the Third Proportional to 30,457,595.25 and 65,770,472.25

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Solution

The third proportional to 30,457,595.25 and 65,770,472.25 is: 142,025,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457,595.25 : 65,770,472.25 = 65,770,472.25 : x
  2. Step 2: Convert to fraction form
    30,457,595.25/65,770,472.25 = 65,770,472.25/x
  3. Step 3: Cross multiply
    30,457,595.25x = 65,770,472.25 × 65,770,472.25
  4. Step 4: Simplify right side
    30,457,595.25x = 4,325,755,019,988,020
  5. Step 5: Solve for x
    x = 4,325,755,019,988,020/30,457,595.25
  6. Step 6: Final answer
    x = 142,025,494.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.