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Finding the Third Proportional to 75,743,820 and 163,594,512

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Solution

The third proportional to 75,743,820 and 163,594,512 is: 353,337,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,743,820 : 163,594,512 = 163,594,512 : x
  2. Step 2: Convert to fraction form
    75,743,820/163,594,512 = 163,594,512/x
  3. Step 3: Cross multiply
    75,743,820x = 163,594,512 × 163,594,512
  4. Step 4: Simplify right side
    75,743,820x = 26,763,164,356,518,144
  5. Step 5: Solve for x
    x = 26,763,164,356,518,144/75,743,820
  6. Step 6: Final answer
    x = 353,337,927.19

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Why These Related Problems?

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