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Finding the Third Proportional to 2,299,985,352 and 3,755,271,561

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Solution

The third proportional to 2,299,985,352 and 3,755,271,561 is: 6,131,371,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,985,352 : 3,755,271,561 = 3,755,271,561 : x
  2. Step 2: Convert to fraction form
    2,299,985,352/3,755,271,561 = 3,755,271,561/x
  3. Step 3: Cross multiply
    2,299,985,352x = 3,755,271,561 × 3,755,271,561
  4. Step 4: Simplify right side
    2,299,985,352x = 14,102,064,496,855,375,872
  5. Step 5: Solve for x
    x = 14,102,064,496,855,375,872/2,299,985,352
  6. Step 6: Final answer
    x = 6,131,371,438.78

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.