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Finding the Third Proportional to 949,859,298 and 1,453,037,211

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Solution

The third proportional to 949,859,298 and 1,453,037,211 is: 2,222,768,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,859,298 : 1,453,037,211 = 1,453,037,211 : x
  2. Step 2: Convert to fraction form
    949,859,298/1,453,037,211 = 1,453,037,211/x
  3. Step 3: Cross multiply
    949,859,298x = 1,453,037,211 × 1,453,037,211
  4. Step 4: Simplify right side
    949,859,298x = 2,111,317,136,550,658,560
  5. Step 5: Solve for x
    x = 2,111,317,136,550,658,560/949,859,298
  6. Step 6: Final answer
    x = 2,222,768,299.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.