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Finding the Third Proportional to 46,936,980 and 72,615,717

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Solution

The third proportional to 46,936,980 and 72,615,717 is: 112,343,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,936,980 : 72,615,717 = 72,615,717 : x
  2. Step 2: Convert to fraction form
    46,936,980/72,615,717 = 72,615,717/x
  3. Step 3: Cross multiply
    46,936,980x = 72,615,717 × 72,615,717
  4. Step 4: Simplify right side
    46,936,980x = 5,273,042,355,424,089
  5. Step 5: Solve for x
    x = 5,273,042,355,424,089/46,936,980
  6. Step 6: Final answer
    x = 112,343,025.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.