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Finding the Third Proportional to 1,120,183,418 and 1,618,332,258

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Solution

The third proportional to 1,120,183,418 and 1,618,332,258 is: 2,338,009,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120,183,418 : 1,618,332,258 = 1,618,332,258 : x
  2. Step 2: Convert to fraction form
    1,120,183,418/1,618,332,258 = 1,618,332,258/x
  3. Step 3: Cross multiply
    1,120,183,418x = 1,618,332,258 × 1,618,332,258
  4. Step 4: Simplify right side
    1,120,183,418x = 2,618,999,297,283,378,688
  5. Step 5: Solve for x
    x = 2,618,999,297,283,378,688/1,120,183,418
  6. Step 6: Final answer
    x = 2,338,009,343.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.