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Finding the Third Proportional to 1,617,313,636 and 2,311,178,656

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Solution

The third proportional to 1,617,313,636 and 2,311,178,656 is: 3,302,727,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,313,636 : 2,311,178,656 = 2,311,178,656 : x
  2. Step 2: Convert to fraction form
    1,617,313,636/2,311,178,656 = 2,311,178,656/x
  3. Step 3: Cross multiply
    1,617,313,636x = 2,311,178,656 × 2,311,178,656
  4. Step 4: Simplify right side
    1,617,313,636x = 5,341,546,779,949,966,336
  5. Step 5: Solve for x
    x = 5,341,546,779,949,966,336/1,617,313,636
  6. Step 6: Final answer
    x = 3,302,727,845.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.