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Finding the Third Proportional to 8,946,648,928 and 13,342,389,068

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Solution

The third proportional to 8,946,648,928 and 13,342,389,068 is: 19,897,879,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946,648,928 : 13,342,389,068 = 13,342,389,068 : x
  2. Step 2: Convert to fraction form
    8,946,648,928/13,342,389,068 = 13,342,389,068/x
  3. Step 3: Cross multiply
    8,946,648,928x = 13,342,389,068 × 13,342,389,068
  4. Step 4: Simplify right side
    8,946,648,928x = 178,019,346,041,885,917,184
  5. Step 5: Solve for x
    x = 178,019,346,041,885,917,184/8,946,648,928
  6. Step 6: Final answer
    x = 19,897,879,918.45

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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.