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Finding the Third Proportional to 2,146,658,168 and 4,637,984,728

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Solution

The third proportional to 2,146,658,168 and 4,637,984,728 is: 10,020,646,350.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,658,168 : 4,637,984,728 = 4,637,984,728 : x
  2. Step 2: Convert to fraction form
    2,146,658,168/4,637,984,728 = 4,637,984,728/x
  3. Step 3: Cross multiply
    2,146,658,168x = 4,637,984,728 × 4,637,984,728
  4. Step 4: Simplify right side
    2,146,658,168x = 21,510,902,337,161,232,384
  5. Step 5: Solve for x
    x = 21,510,902,337,161,232,384/2,146,658,168
  6. Step 6: Final answer
    x = 10,020,646,350.60

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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.