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Finding the Third Proportional to 1,898,950,955,976 and 2,562,130,702,932

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Solution

The third proportional to 1,898,950,955,976 and 2,562,130,702,932 is: 3,456,915,892,560.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898,950,955,976 : 2,562,130,702,932 = 2,562,130,702,932 : x
  2. Step 2: Convert to fraction form
    1,898,950,955,976/2,562,130,702,932 = 2,562,130,702,932/x
  3. Step 3: Cross multiply
    1,898,950,955,976x = 2,562,130,702,932 × 2,562,130,702,932
  4. Step 4: Simplify right side
    1,898,950,955,976x = 6,564,513,738,906,824,595,210,240
  5. Step 5: Solve for x
    x = 6,564,513,738,906,824,595,210,240/1,898,950,955,976
  6. Step 6: Final answer
    x = 3,456,915,892,560.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.