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Finding the Third Proportional to 30,305,434.50 and 46,214,784

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Solution

The third proportional to 30,305,434.50 and 46,214,784 is: 70,476,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,305,434.50 : 46,214,784 = 46,214,784 : x
  2. Step 2: Convert to fraction form
    30,305,434.50/46,214,784 = 46,214,784/x
  3. Step 3: Cross multiply
    30,305,434.50x = 46,214,784 × 46,214,784
  4. Step 4: Simplify right side
    30,305,434.50x = 2,135,806,260,166,656
  5. Step 5: Solve for x
    x = 2,135,806,260,166,656/30,305,434.50
  6. Step 6: Final answer
    x = 70,476,015.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.