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Finding the Third Proportional to 260,909,296 and 562,673,056

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Solution

The third proportional to 260,909,296 and 562,673,056 is: 1,213,452,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,909,296 : 562,673,056 = 562,673,056 : x
  2. Step 2: Convert to fraction form
    260,909,296/562,673,056 = 562,673,056/x
  3. Step 3: Cross multiply
    260,909,296x = 562,673,056 × 562,673,056
  4. Step 4: Simplify right side
    260,909,296x = 316,600,967,948,379,136
  5. Step 5: Solve for x
    x = 316,600,967,948,379,136/260,909,296
  6. Step 6: Final answer
    x = 1,213,452,233.41

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