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Finding the Third Proportional to 805,238,056,493 and 1,250,285,593,323

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Solution

The third proportional to 805,238,056,493 and 1,250,285,593,323 is: 1,941,306,738,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,238,056,493 : 1,250,285,593,323 = 1,250,285,593,323 : x
  2. Step 2: Convert to fraction form
    805,238,056,493/1,250,285,593,323 = 1,250,285,593,323/x
  3. Step 3: Cross multiply
    805,238,056,493x = 1,250,285,593,323 × 1,250,285,593,323
  4. Step 4: Simplify right side
    805,238,056,493x = 1,563,214,064,871,046,041,829,376
  5. Step 5: Solve for x
    x = 1,563,214,064,871,046,041,829,376/805,238,056,493
  6. Step 6: Final answer
    x = 1,941,306,738,133.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.