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Finding the Third Proportional to 821,716,161 and 1,672,130,043

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Solution

The third proportional to 821,716,161 and 1,672,130,043 is: 3,402,657,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,716,161 : 1,672,130,043 = 1,672,130,043 : x
  2. Step 2: Convert to fraction form
    821,716,161/1,672,130,043 = 1,672,130,043/x
  3. Step 3: Cross multiply
    821,716,161x = 1,672,130,043 × 1,672,130,043
  4. Step 4: Simplify right side
    821,716,161x = 2,796,018,880,703,181,824
  5. Step 5: Solve for x
    x = 2,796,018,880,703,181,824/821,716,161
  6. Step 6: Final answer
    x = 3,402,657,770.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.