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Finding the Third Proportional to 1,718,971,266 and 3,682,995,044

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Solution

The third proportional to 1,718,971,266 and 3,682,995,044 is: 7,891,029,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718,971,266 : 3,682,995,044 = 3,682,995,044 : x
  2. Step 2: Convert to fraction form
    1,718,971,266/3,682,995,044 = 3,682,995,044/x
  3. Step 3: Cross multiply
    1,718,971,266x = 3,682,995,044 × 3,682,995,044
  4. Step 4: Simplify right side
    1,718,971,266x = 13,564,452,494,128,562,176
  5. Step 5: Solve for x
    x = 13,564,452,494,128,562,176/1,718,971,266
  6. Step 6: Final answer
    x = 7,891,029,223.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.