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Finding the Third Proportional to 8,946,648,974 and 13,342,389,135

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Solution

The third proportional to 8,946,648,974 and 13,342,389,135 is: 19,897,880,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946,648,974 : 13,342,389,135 = 13,342,389,135 : x
  2. Step 2: Convert to fraction form
    8,946,648,974/13,342,389,135 = 13,342,389,135/x
  3. Step 3: Cross multiply
    8,946,648,974x = 13,342,389,135 × 13,342,389,135
  4. Step 4: Simplify right side
    8,946,648,974x = 178,019,347,829,766,062,080
  5. Step 5: Solve for x
    x = 178,019,347,829,766,062,080/8,946,648,974
  6. Step 6: Final answer
    x = 19,897,880,015.98

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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.