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Finding the Third Proportional to 1,236,559,398 and 2,666,823,543

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Solution

The third proportional to 1,236,559,398 and 2,666,823,543 is: 5,751,400,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,559,398 : 2,666,823,543 = 2,666,823,543 : x
  2. Step 2: Convert to fraction form
    1,236,559,398/2,666,823,543 = 2,666,823,543/x
  3. Step 3: Cross multiply
    1,236,559,398x = 2,666,823,543 × 2,666,823,543
  4. Step 4: Simplify right side
    1,236,559,398x = 7,111,947,809,499,072,512
  5. Step 5: Solve for x
    x = 7,111,947,809,499,072,512/1,236,559,398
  6. Step 6: Final answer
    x = 5,751,400,071.04

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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.