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Finding the Third Proportional to 6,093,031,466 and 13,267,755,584

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Solution

The third proportional to 6,093,031,466 and 13,267,755,584 is: 28,890,928,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093,031,466 : 13,267,755,584 = 13,267,755,584 : x
  2. Step 2: Convert to fraction form
    6,093,031,466/13,267,755,584 = 13,267,755,584/x
  3. Step 3: Cross multiply
    6,093,031,466x = 13,267,755,584 × 13,267,755,584
  4. Step 4: Simplify right side
    6,093,031,466x = 176,033,338,236,763,176,960
  5. Step 5: Solve for x
    x = 176,033,338,236,763,176,960/6,093,031,466
  6. Step 6: Final answer
    x = 28,890,928,796.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.