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Finding the Third Proportional to 6,568,960,749 and 13,603,552,386

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Solution

The third proportional to 6,568,960,749 and 13,603,552,386 is: 28,171,372,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568,960,749 : 13,603,552,386 = 13,603,552,386 : x
  2. Step 2: Convert to fraction form
    6,568,960,749/13,603,552,386 = 13,603,552,386/x
  3. Step 3: Cross multiply
    6,568,960,749x = 13,603,552,386 × 13,603,552,386
  4. Step 4: Simplify right side
    6,568,960,749x = 185,056,637,518,646,280,192
  5. Step 5: Solve for x
    x = 185,056,637,518,646,280,192/6,568,960,749
  6. Step 6: Final answer
    x = 28,171,372,092.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.