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Finding the Third Proportional to 1,688,959,688 and 3,632,102,002

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Solution

The third proportional to 1,688,959,688 and 3,632,102,002 is: 7,810,822,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,959,688 : 3,632,102,002 = 3,632,102,002 : x
  2. Step 2: Convert to fraction form
    1,688,959,688/3,632,102,002 = 3,632,102,002/x
  3. Step 3: Cross multiply
    1,688,959,688x = 3,632,102,002 × 3,632,102,002
  4. Step 4: Simplify right side
    1,688,959,688x = 13,192,164,952,932,407,296
  5. Step 5: Solve for x
    x = 13,192,164,952,932,407,296/1,688,959,688
  6. Step 6: Final answer
    x = 7,810,822,867.27

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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.