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Finding the Third Proportional to 41,505,828,259,792 and 86,447,069,510,550

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Solution

The third proportional to 41,505,828,259,792 and 86,447,069,510,550 is: 180,049,312,115,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,505,828,259,792 : 86,447,069,510,550 = 86,447,069,510,550 : x
  2. Step 2: Convert to fraction form
    41,505,828,259,792/86,447,069,510,550 = 86,447,069,510,550/x
  3. Step 3: Cross multiply
    41,505,828,259,792x = 86,447,069,510,550 × 86,447,069,510,550
  4. Step 4: Simplify right side
    41,505,828,259,792x = 7,473,095,826,961,862,871,476,076,544
  5. Step 5: Solve for x
    x = 7,473,095,826,961,862,871,476,076,544/41,505,828,259,792
  6. Step 6: Final answer
    x = 180,049,312,115,553.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.