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Finding the Third Proportional to 1,898,950,955,908 and 2,562,130,702,835

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Solution

The third proportional to 1,898,950,955,908 and 2,562,130,702,835 is: 3,456,915,892,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898,950,955,908 : 2,562,130,702,835 = 2,562,130,702,835 : x
  2. Step 2: Convert to fraction form
    1,898,950,955,908/2,562,130,702,835 = 2,562,130,702,835/x
  3. Step 3: Cross multiply
    1,898,950,955,908x = 2,562,130,702,835 × 2,562,130,702,835
  4. Step 4: Simplify right side
    1,898,950,955,908x = 6,564,513,738,409,771,251,269,632
  5. Step 5: Solve for x
    x = 6,564,513,738,409,771,251,269,632/1,898,950,955,908
  6. Step 6: Final answer
    x = 3,456,915,892,422.77

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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.