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Finding the Third Proportional to 9,691,015,878 and 21,035,975,778

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Solution

The third proportional to 9,691,015,878 and 21,035,975,778 is: 45,662,114,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,015,878 : 21,035,975,778 = 21,035,975,778 : x
  2. Step 2: Convert to fraction form
    9,691,015,878/21,035,975,778 = 21,035,975,778/x
  3. Step 3: Cross multiply
    9,691,015,878x = 21,035,975,778 × 21,035,975,778
  4. Step 4: Simplify right side
    9,691,015,878x = 442,512,276,932,602,691,584
  5. Step 5: Solve for x
    x = 442,512,276,932,602,691,584/9,691,015,878
  6. Step 6: Final answer
    x = 45,662,114,529.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.