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Finding the Third Proportional to 1,120,183,416 and 1,618,332,255

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Solution

The third proportional to 1,120,183,416 and 1,618,332,255 is: 2,338,009,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120,183,416 : 1,618,332,255 = 1,618,332,255 : x
  2. Step 2: Convert to fraction form
    1,120,183,416/1,618,332,255 = 1,618,332,255/x
  3. Step 3: Cross multiply
    1,120,183,416x = 1,618,332,255 × 1,618,332,255
  4. Step 4: Simplify right side
    1,120,183,416x = 2,618,999,287,573,385,216
  5. Step 5: Solve for x
    x = 2,618,999,287,573,385,216/1,120,183,416
  6. Step 6: Final answer
    x = 2,338,009,338.62

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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.