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Finding the Third Proportional to 4,046,175,234,570 and 8,737,240,628,713

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Solution

The third proportional to 4,046,175,234,570 and 8,737,240,628,713 is: 18,867,045,883,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046,175,234,570 : 8,737,240,628,713 = 8,737,240,628,713 : x
  2. Step 2: Convert to fraction form
    4,046,175,234,570/8,737,240,628,713 = 8,737,240,628,713/x
  3. Step 3: Cross multiply
    4,046,175,234,570x = 8,737,240,628,713 × 8,737,240,628,713
  4. Step 4: Simplify right side
    4,046,175,234,570x = 76,339,373,804,033,140,001,341,440
  5. Step 5: Solve for x
    x = 76,339,373,804,033,140,001,341,440/4,046,175,234,570
  6. Step 6: Final answer
    x = 18,867,045,883,677.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.