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Finding the Third Proportional to 6,299,492,538 and 13,497,521,661

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Solution

The third proportional to 6,299,492,538 and 13,497,521,661 is: 28,920,280,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299,492,538 : 13,497,521,661 = 13,497,521,661 : x
  2. Step 2: Convert to fraction form
    6,299,492,538/13,497,521,661 = 13,497,521,661/x
  3. Step 3: Cross multiply
    6,299,492,538x = 13,497,521,661 × 13,497,521,661
  4. Step 4: Simplify right side
    6,299,492,538x = 182,183,090,989,164,199,936
  5. Step 5: Solve for x
    x = 182,183,090,989,164,199,936/6,299,492,538
  6. Step 6: Final answer
    x = 28,920,280,465.48

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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.