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Finding the Third Proportional to 265,029,673 and 566,905,920

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Solution

The third proportional to 265,029,673 and 566,905,920 is: 1,212,627,697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,029,673 : 566,905,920 = 566,905,920 : x
  2. Step 2: Convert to fraction form
    265,029,673/566,905,920 = 566,905,920/x
  3. Step 3: Cross multiply
    265,029,673x = 566,905,920 × 566,905,920
  4. Step 4: Simplify right side
    265,029,673x = 321,382,322,131,046,400
  5. Step 5: Solve for x
    x = 321,382,322,131,046,400/265,029,673
  6. Step 6: Final answer
    x = 1,212,627,697.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.