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Finding the Third Proportional to 1,688,959,686 and 3,632,101,998

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Solution

The third proportional to 1,688,959,686 and 3,632,101,998 is: 7,810,822,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,959,686 : 3,632,101,998 = 3,632,101,998 : x
  2. Step 2: Convert to fraction form
    1,688,959,686/3,632,101,998 = 3,632,101,998/x
  3. Step 3: Cross multiply
    1,688,959,686x = 3,632,101,998 × 3,632,101,998
  4. Step 4: Simplify right side
    1,688,959,686x = 13,192,164,923,875,592,192
  5. Step 5: Solve for x
    x = 13,192,164,923,875,592,192/1,688,959,686
  6. Step 6: Final answer
    x = 7,810,822,859.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.