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Finding the Third Proportional to 1,065,884,873 and 2,376,851,219

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Solution

The third proportional to 1,065,884,873 and 2,376,851,219 is: 5,300,217,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,884,873 : 2,376,851,219 = 2,376,851,219 : x
  2. Step 2: Convert to fraction form
    1,065,884,873/2,376,851,219 = 2,376,851,219/x
  3. Step 3: Cross multiply
    1,065,884,873x = 2,376,851,219 × 2,376,851,219
  4. Step 4: Simplify right side
    1,065,884,873x = 5,649,421,717,261,786,112
  5. Step 5: Solve for x
    x = 5,649,421,717,261,786,112/1,065,884,873
  6. Step 6: Final answer
    x = 5,300,217,556.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.