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Finding the Third Proportional to 749,854,762,299 and 1,642,967,328,096

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Solution

The third proportional to 749,854,762,299 and 1,642,967,328,096 is: 3,599,819,294,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,854,762,299 : 1,642,967,328,096 = 1,642,967,328,096 : x
  2. Step 2: Convert to fraction form
    749,854,762,299/1,642,967,328,096 = 1,642,967,328,096/x
  3. Step 3: Cross multiply
    749,854,762,299x = 1,642,967,328,096 × 1,642,967,328,096
  4. Step 4: Simplify right side
    749,854,762,299x = 2,699,341,641,190,909,449,076,736
  5. Step 5: Solve for x
    x = 2,699,341,641,190,909,449,076,736/749,854,762,299
  6. Step 6: Final answer
    x = 3,599,819,294,225.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.