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Finding the Third Proportional to 823,416,258 and 1,808,075,652

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Solution

The third proportional to 823,416,258 and 1,808,075,652 is: 3,970,212,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,416,258 : 1,808,075,652 = 1,808,075,652 : x
  2. Step 2: Convert to fraction form
    823,416,258/1,808,075,652 = 1,808,075,652/x
  3. Step 3: Cross multiply
    823,416,258x = 1,808,075,652 × 1,808,075,652
  4. Step 4: Simplify right side
    823,416,258x = 3,269,137,563,355,225,088
  5. Step 5: Solve for x
    x = 3,269,137,563,355,225,088/823,416,258
  6. Step 6: Final answer
    x = 3,970,212,552.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.