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Finding the Third Proportional to 962,370,245,559 and 2,039,477,490,313.50

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Solution

The third proportional to 962,370,245,559 and 2,039,477,490,313.50 is: 4,322,108,307,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,370,245,559 : 2,039,477,490,313.50 = 2,039,477,490,313.50 : x
  2. Step 2: Convert to fraction form
    962,370,245,559/2,039,477,490,313.50 = 2,039,477,490,313.50/x
  3. Step 3: Cross multiply
    962,370,245,559x = 2,039,477,490,313.50 × 2,039,477,490,313.50
  4. Step 4: Simplify right side
    962,370,245,559x = 4,159,468,433,495,452,396,027,904
  5. Step 5: Solve for x
    x = 4,159,468,433,495,452,396,027,904/962,370,245,559
  6. Step 6: Final answer
    x = 4,322,108,307,784.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.