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Finding the Third Proportional to 450,746,276 and 979,085,961

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Solution

The third proportional to 450,746,276 and 979,085,961 is: 2,126,716,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,746,276 : 979,085,961 = 979,085,961 : x
  2. Step 2: Convert to fraction form
    450,746,276/979,085,961 = 979,085,961/x
  3. Step 3: Cross multiply
    450,746,276x = 979,085,961 × 979,085,961
  4. Step 4: Simplify right side
    450,746,276x = 958,609,319,027,293,568
  5. Step 5: Solve for x
    x = 958,609,319,027,293,568/450,746,276
  6. Step 6: Final answer
    x = 2,126,716,004.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.