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Finding the Third Proportional to 8,946,648,936 and 13,342,389,120

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Solution

The third proportional to 8,946,648,936 and 13,342,389,120 is: 19,897,880,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946,648,936 : 13,342,389,120 = 13,342,389,120 : x
  2. Step 2: Convert to fraction form
    8,946,648,936/13,342,389,120 = 13,342,389,120/x
  3. Step 3: Cross multiply
    8,946,648,936x = 13,342,389,120 × 13,342,389,120
  4. Step 4: Simplify right side
    8,946,648,936x = 178,019,347,429,494,358,016
  5. Step 5: Solve for x
    x = 178,019,347,429,494,358,016/8,946,648,936
  6. Step 6: Final answer
    x = 19,897,880,055.76

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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.