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Finding the Third Proportional to 1,398,837,391 and 3,033,694,169

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Solution

The third proportional to 1,398,837,391 and 3,033,694,169 is: 6,579,249,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,837,391 : 3,033,694,169 = 3,033,694,169 : x
  2. Step 2: Convert to fraction form
    1,398,837,391/3,033,694,169 = 3,033,694,169/x
  3. Step 3: Cross multiply
    1,398,837,391x = 3,033,694,169 × 3,033,694,169
  4. Step 4: Simplify right side
    1,398,837,391x = 9,203,300,311,024,600,064
  5. Step 5: Solve for x
    x = 9,203,300,311,024,600,064/1,398,837,391
  6. Step 6: Final answer
    x = 6,579,249,575.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.