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Finding the Third Proportional to 1,943,273,943 and 4,196,195,712

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Solution

The third proportional to 1,943,273,943 and 4,196,195,712 is: 9,061,027,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943,273,943 : 4,196,195,712 = 4,196,195,712 : x
  2. Step 2: Convert to fraction form
    1,943,273,943/4,196,195,712 = 4,196,195,712/x
  3. Step 3: Cross multiply
    1,943,273,943x = 4,196,195,712 × 4,196,195,712
  4. Step 4: Simplify right side
    1,943,273,943x = 17,608,058,453,407,186,944
  5. Step 5: Solve for x
    x = 17,608,058,453,407,186,944/1,943,273,943
  6. Step 6: Final answer
    x = 9,061,027,405.24

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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.