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Finding the Third Proportional to 744,027,450 and 1,225,119,015

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Solution

The third proportional to 744,027,450 and 1,225,119,015 is: 2,017,286,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,027,450 : 1,225,119,015 = 1,225,119,015 : x
  2. Step 2: Convert to fraction form
    744,027,450/1,225,119,015 = 1,225,119,015/x
  3. Step 3: Cross multiply
    744,027,450x = 1,225,119,015 × 1,225,119,015
  4. Step 4: Simplify right side
    744,027,450x = 1,500,916,600,914,570,240
  5. Step 5: Solve for x
    x = 1,500,916,600,914,570,240/744,027,450
  6. Step 6: Final answer
    x = 2,017,286,594.62

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.