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Finding the Third Proportional to 1,341,554,176 and 2,133,265,344

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Solution

The third proportional to 1,341,554,176 and 2,133,265,344 is: 3,392,200,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341,554,176 : 2,133,265,344 = 2,133,265,344 : x
  2. Step 2: Convert to fraction form
    1,341,554,176/2,133,265,344 = 2,133,265,344/x
  3. Step 3: Cross multiply
    1,341,554,176x = 2,133,265,344 × 2,133,265,344
  4. Step 4: Simplify right side
    1,341,554,176x = 4,550,821,027,911,438,336
  5. Step 5: Solve for x
    x = 4,550,821,027,911,438,336/1,341,554,176
  6. Step 6: Final answer
    x = 3,392,200,709.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.