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Finding the Third Proportional to 1,819,391,004 and 2,794,807,125

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Solution

The third proportional to 1,819,391,004 and 2,794,807,125 is: 4,293,165,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819,391,004 : 2,794,807,125 = 2,794,807,125 : x
  2. Step 2: Convert to fraction form
    1,819,391,004/2,794,807,125 = 2,794,807,125/x
  3. Step 3: Cross multiply
    1,819,391,004x = 2,794,807,125 × 2,794,807,125
  4. Step 4: Simplify right side
    1,819,391,004x = 7,810,946,865,950,766,080
  5. Step 5: Solve for x
    x = 7,810,946,865,950,766,080/1,819,391,004
  6. Step 6: Final answer
    x = 4,293,165,597.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.