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Finding the Third Proportional to 1,236,556,959 and 2,666,818,695

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Solution

The third proportional to 1,236,556,959 and 2,666,818,695 is: 5,751,390,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,556,959 : 2,666,818,695 = 2,666,818,695 : x
  2. Step 2: Convert to fraction form
    1,236,556,959/2,666,818,695 = 2,666,818,695/x
  3. Step 3: Cross multiply
    1,236,556,959x = 2,666,818,695 × 2,666,818,695
  4. Step 4: Simplify right side
    1,236,556,959x = 7,111,921,952,001,503,232
  5. Step 5: Solve for x
    x = 7,111,921,952,001,503,232/1,236,556,959
  6. Step 6: Final answer
    x = 5,751,390,504.29

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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.