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Finding the Third Proportional to 394,890,788,499.60 and 849,211,282,762.20

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Solution

The third proportional to 394,890,788,499.60 and 849,211,282,762.20 is: 1,826,225,943,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,890,788,499.60 : 849,211,282,762.20 = 849,211,282,762.20 : x
  2. Step 2: Convert to fraction form
    394,890,788,499.60/849,211,282,762.20 = 849,211,282,762.20/x
  3. Step 3: Cross multiply
    394,890,788,499.60x = 849,211,282,762.20 × 849,211,282,762.20
  4. Step 4: Simplify right side
    394,890,788,499.60x = 721,159,802,770,621,057,728,512
  5. Step 5: Solve for x
    x = 721,159,802,770,621,057,728,512/394,890,788,499.60
  6. Step 6: Final answer
    x = 1,826,225,943,407.52

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1.5x scale

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.