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Finding the Third Proportional to 1,959,356,232 and 4,230,403,460

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Solution

The third proportional to 1,959,356,232 and 4,230,403,460 is: 9,133,772,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,356,232 : 4,230,403,460 = 4,230,403,460 : x
  2. Step 2: Convert to fraction form
    1,959,356,232/4,230,403,460 = 4,230,403,460/x
  3. Step 3: Cross multiply
    1,959,356,232x = 4,230,403,460 × 4,230,403,460
  4. Step 4: Simplify right side
    1,959,356,232x = 17,896,313,434,379,972,608
  5. Step 5: Solve for x
    x = 17,896,313,434,379,972,608/1,959,356,232
  6. Step 6: Final answer
    x = 9,133,772,175.83

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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.