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Finding the Third Proportional to 630,111,352,299 and 1,355,790,726,558

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Solution

The third proportional to 630,111,352,299 and 1,355,790,726,558 is: 2,917,212,152,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,111,352,299 : 1,355,790,726,558 = 1,355,790,726,558 : x
  2. Step 2: Convert to fraction form
    630,111,352,299/1,355,790,726,558 = 1,355,790,726,558/x
  3. Step 3: Cross multiply
    630,111,352,299x = 1,355,790,726,558 × 1,355,790,726,558
  4. Step 4: Simplify right side
    630,111,352,299x = 1,838,168,494,220,669,490,298,880
  5. Step 5: Solve for x
    x = 1,838,168,494,220,669,490,298,880/630,111,352,299
  6. Step 6: Final answer
    x = 2,917,212,152,287.05

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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.