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Finding the Third Proportional to 2,299,985,354 and 3,755,271,564

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Solution

The third proportional to 2,299,985,354 and 3,755,271,564 is: 6,131,371,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,985,354 : 3,755,271,564 = 3,755,271,564 : x
  2. Step 2: Convert to fraction form
    2,299,985,354/3,755,271,564 = 3,755,271,564/x
  3. Step 3: Cross multiply
    2,299,985,354x = 3,755,271,564 × 3,755,271,564
  4. Step 4: Simplify right side
    2,299,985,354x = 14,102,064,519,387,006,976
  5. Step 5: Solve for x
    x = 14,102,064,519,387,006,976/2,299,985,354
  6. Step 6: Final answer
    x = 6,131,371,443.24

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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.