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Finding the Third Proportional to 244,365,788,844 and 526,078,278,756

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Solution

The third proportional to 244,365,788,844 and 526,078,278,756 is: 1,132,557,698,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,365,788,844 : 526,078,278,756 = 526,078,278,756 : x
  2. Step 2: Convert to fraction form
    244,365,788,844/526,078,278,756 = 526,078,278,756/x
  3. Step 3: Cross multiply
    244,365,788,844x = 526,078,278,756 × 526,078,278,756
  4. Step 4: Simplify right side
    244,365,788,844x = 276,758,355,378,875,643,461,632
  5. Step 5: Solve for x
    x = 276,758,355,378,875,643,461,632/244,365,788,844
  6. Step 6: Final answer
    x = 1,132,557,698,391.88

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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.