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Finding the Third Proportional to 1,903,303,762 and 2,909,661,059

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Solution

The third proportional to 1,903,303,762 and 2,909,661,059 is: 4,448,122,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903,303,762 : 2,909,661,059 = 2,909,661,059 : x
  2. Step 2: Convert to fraction form
    1,903,303,762/2,909,661,059 = 2,909,661,059/x
  3. Step 3: Cross multiply
    1,903,303,762x = 2,909,661,059 × 2,909,661,059
  4. Step 4: Simplify right side
    1,903,303,762x = 8,466,127,478,261,001,216
  5. Step 5: Solve for x
    x = 8,466,127,478,261,001,216/1,903,303,762
  6. Step 6: Final answer
    x = 4,448,122,074.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.