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Finding the Third Proportional to 265,254,966 and 570,820,728

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Solution

The third proportional to 265,254,966 and 570,820,728 is: 1,228,389,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,254,966 : 570,820,728 = 570,820,728 : x
  2. Step 2: Convert to fraction form
    265,254,966/570,820,728 = 570,820,728/x
  3. Step 3: Cross multiply
    265,254,966x = 570,820,728 × 570,820,728
  4. Step 4: Simplify right side
    265,254,966x = 325,836,303,514,449,984
  5. Step 5: Solve for x
    x = 325,836,303,514,449,984/265,254,966
  6. Step 6: Final answer
    x = 1,228,389,079.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.