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Finding the Third Proportional to 1,718,971,264 and 3,682,995,040

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Solution

The third proportional to 1,718,971,264 and 3,682,995,040 is: 7,891,029,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718,971,264 : 3,682,995,040 = 3,682,995,040 : x
  2. Step 2: Convert to fraction form
    1,718,971,264/3,682,995,040 = 3,682,995,040/x
  3. Step 3: Cross multiply
    1,718,971,264x = 3,682,995,040 × 3,682,995,040
  4. Step 4: Simplify right side
    1,718,971,264x = 13,564,452,464,664,600,576
  5. Step 5: Solve for x
    x = 13,564,452,464,664,600,576/1,718,971,264
  6. Step 6: Final answer
    x = 7,891,029,215.40

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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.