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Finding the Third Proportional to 283,119,826.50 and 615,246,571.69

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Solution

The third proportional to 283,119,826.50 and 615,246,571.69 is: 1,336,989,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,119,826.50 : 615,246,571.69 = 615,246,571.69 : x
  2. Step 2: Convert to fraction form
    283,119,826.50/615,246,571.69 = 615,246,571.69/x
  3. Step 3: Cross multiply
    283,119,826.50x = 615,246,571.69 × 615,246,571.69
  4. Step 4: Simplify right side
    283,119,826.50x = 378,528,343,973,222,080
  5. Step 5: Solve for x
    x = 378,528,343,973,222,080/283,119,826.50
  6. Step 6: Final answer
    x = 1,336,989,883.94

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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.