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Finding the Third Proportional to 5,363,136,200.53 and 8,370,581,413.78

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Solution

The third proportional to 5,363,136,200.53 and 8,370,581,413.78 is: 13,064,488,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363,136,200.53 : 8,370,581,413.78 = 8,370,581,413.78 : x
  2. Step 2: Convert to fraction form
    5,363,136,200.53/8,370,581,413.78 = 8,370,581,413.78/x
  3. Step 3: Cross multiply
    5,363,136,200.53x = 8,370,581,413.78 × 8,370,581,413.78
  4. Step 4: Simplify right side
    5,363,136,200.53x = 70,066,633,204,739,276,800
  5. Step 5: Solve for x
    x = 70,066,633,204,739,276,800/5,363,136,200.53
  6. Step 6: Final answer
    x = 13,064,488,870.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.