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Finding the Third Proportional to 314,669,064 and 492,532,923

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Solution

The third proportional to 314,669,064 and 492,532,923 is: 770,932,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,669,064 : 492,532,923 = 492,532,923 : x
  2. Step 2: Convert to fraction form
    314,669,064/492,532,923 = 492,532,923/x
  3. Step 3: Cross multiply
    314,669,064x = 492,532,923 × 492,532,923
  4. Step 4: Simplify right side
    314,669,064x = 242,588,680,238,923,936
  5. Step 5: Solve for x
    x = 242,588,680,238,923,936/314,669,064
  6. Step 6: Final answer
    x = 770,932,728.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.