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Finding the Third Proportional to 286,898,479,110 and 627,842,342,844

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Solution

The third proportional to 286,898,479,110 and 627,842,342,844 is: 1,373,956,420,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,898,479,110 : 627,842,342,844 = 627,842,342,844 : x
  2. Step 2: Convert to fraction form
    286,898,479,110/627,842,342,844 = 627,842,342,844/x
  3. Step 3: Cross multiply
    286,898,479,110x = 627,842,342,844 × 627,842,342,844
  4. Step 4: Simplify right side
    286,898,479,110x = 394,186,007,467,842,829,549,568
  5. Step 5: Solve for x
    x = 394,186,007,467,842,829,549,568/286,898,479,110
  6. Step 6: Final answer
    x = 1,373,956,420,719.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.