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Finding the Third Proportional to 6,645,896,256 and 14,181,325,440

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Solution

The third proportional to 6,645,896,256 and 14,181,325,440 is: 30,260,778,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645,896,256 : 14,181,325,440 = 14,181,325,440 : x
  2. Step 2: Convert to fraction form
    6,645,896,256/14,181,325,440 = 14,181,325,440/x
  3. Step 3: Cross multiply
    6,645,896,256x = 14,181,325,440 × 14,181,325,440
  4. Step 4: Simplify right side
    6,645,896,256x = 201,109,991,235,191,177,216
  5. Step 5: Solve for x
    x = 201,109,991,235,191,177,216/6,645,896,256
  6. Step 6: Final answer
    x = 30,260,778,003.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.