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Finding the Third Proportional to 630,111,352,386 and 1,355,790,726,756

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Solution

The third proportional to 630,111,352,386 and 1,355,790,726,756 is: 2,917,212,152,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,111,352,386 : 1,355,790,726,756 = 1,355,790,726,756 : x
  2. Step 2: Convert to fraction form
    630,111,352,386/1,355,790,726,756 = 1,355,790,726,756/x
  3. Step 3: Cross multiply
    630,111,352,386x = 1,355,790,726,756 × 1,355,790,726,756
  4. Step 4: Simplify right side
    630,111,352,386x = 1,838,168,494,757,562,682,441,728
  5. Step 5: Solve for x
    x = 1,838,168,494,757,562,682,441,728/630,111,352,386
  6. Step 6: Final answer
    x = 2,917,212,152,736.33

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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.