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Finding the Third Proportional to 11,371,515,273 and 24,320,424,663

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Solution

The third proportional to 11,371,515,273 and 24,320,424,663 is: 52,014,445,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371,515,273 : 24,320,424,663 = 24,320,424,663 : x
  2. Step 2: Convert to fraction form
    11,371,515,273/24,320,424,663 = 24,320,424,663/x
  3. Step 3: Cross multiply
    11,371,515,273x = 24,320,424,663 × 24,320,424,663
  4. Step 4: Simplify right side
    11,371,515,273x = 591,483,055,788,658,655,232
  5. Step 5: Solve for x
    x = 591,483,055,788,658,655,232/11,371,515,273
  6. Step 6: Final answer
    x = 52,014,445,004.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.