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Finding the Third Proportional to 260,007,829,356 and 366,148,319,130

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Solution

The third proportional to 260,007,829,356 and 366,148,319,130 is: 515,617,517,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,007,829,356 : 366,148,319,130 = 366,148,319,130 : x
  2. Step 2: Convert to fraction form
    260,007,829,356/366,148,319,130 = 366,148,319,130/x
  3. Step 3: Cross multiply
    260,007,829,356x = 366,148,319,130 × 366,148,319,130
  4. Step 4: Simplify right side
    260,007,829,356x = 134,064,591,601,724,330,868,736
  5. Step 5: Solve for x
    x = 134,064,591,601,724,330,868,736/260,007,829,356
  6. Step 6: Final answer
    x = 515,617,517,879.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.