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Finding the Third Proportional to 30,512,466 and 46,052,448.75

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Solution

The third proportional to 30,512,466 and 46,052,448.75 is: 69,506,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512,466 : 46,052,448.75 = 46,052,448.75 : x
  2. Step 2: Convert to fraction form
    30,512,466/46,052,448.75 = 46,052,448.75/x
  3. Step 3: Cross multiply
    30,512,466x = 46,052,448.75 × 46,052,448.75
  4. Step 4: Simplify right side
    30,512,466x = 2,120,828,035,871,376.50
  5. Step 5: Solve for x
    x = 2,120,828,035,871,376.50/30,512,466
  6. Step 6: Final answer
    x = 69,506,936.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.