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Finding the Third Proportional to 37,837,071,594 and 53,215,309,611

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Solution

The third proportional to 37,837,071,594 and 53,215,309,611 is: 74,843,772,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,837,071,594 : 53,215,309,611 = 53,215,309,611 : x
  2. Step 2: Convert to fraction form
    37,837,071,594/53,215,309,611 = 53,215,309,611/x
  3. Step 3: Cross multiply
    37,837,071,594x = 53,215,309,611 × 53,215,309,611
  4. Step 4: Simplify right side
    37,837,071,594x = 2,831,869,176,994,589,048,832
  5. Step 5: Solve for x
    x = 2,831,869,176,994,589,048,832/37,837,071,594
  6. Step 6: Final answer
    x = 74,843,772,461.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.