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Finding the Third Proportional to 472,661,632 and 759,435,692

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Solution

The third proportional to 472,661,632 and 759,435,692 is: 1,220,201,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,661,632 : 759,435,692 = 759,435,692 : x
  2. Step 2: Convert to fraction form
    472,661,632/759,435,692 = 759,435,692/x
  3. Step 3: Cross multiply
    472,661,632x = 759,435,692 × 759,435,692
  4. Step 4: Simplify right side
    472,661,632x = 576,742,570,283,518,848
  5. Step 5: Solve for x
    x = 576,742,570,283,518,848/472,661,632
  6. Step 6: Final answer
    x = 1,220,201,791.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.