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Finding the Third Proportional to 8,638,649,472 and 12,901,365,897

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Solution

The third proportional to 8,638,649,472 and 12,901,365,897 is: 19,267,507,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638,649,472 : 12,901,365,897 = 12,901,365,897 : x
  2. Step 2: Convert to fraction form
    8,638,649,472/12,901,365,897 = 12,901,365,897/x
  3. Step 3: Cross multiply
    8,638,649,472x = 12,901,365,897 × 12,901,365,897
  4. Step 4: Simplify right side
    8,638,649,472x = 166,445,242,008,274,599,936
  5. Step 5: Solve for x
    x = 166,445,242,008,274,599,936/8,638,649,472
  6. Step 6: Final answer
    x = 19,267,507,328.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.