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Finding the Third Proportional to 1,943,273,950 and 4,196,195,726

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Solution

The third proportional to 1,943,273,950 and 4,196,195,726 is: 9,061,027,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943,273,950 : 4,196,195,726 = 4,196,195,726 : x
  2. Step 2: Convert to fraction form
    1,943,273,950/4,196,195,726 = 4,196,195,726/x
  3. Step 3: Cross multiply
    1,943,273,950x = 4,196,195,726 × 4,196,195,726
  4. Step 4: Simplify right side
    1,943,273,950x = 17,608,058,570,900,666,368
  5. Step 5: Solve for x
    x = 17,608,058,570,900,666,368/1,943,273,950
  6. Step 6: Final answer
    x = 9,061,027,433.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.