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Finding the Third Proportional to 4,304,853,006 and 6,683,929,068

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Solution

The third proportional to 4,304,853,006 and 6,683,929,068 is: 10,377,800,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304,853,006 : 6,683,929,068 = 6,683,929,068 : x
  2. Step 2: Convert to fraction form
    4,304,853,006/6,683,929,068 = 6,683,929,068/x
  3. Step 3: Cross multiply
    4,304,853,006x = 6,683,929,068 × 6,683,929,068
  4. Step 4: Simplify right side
    4,304,853,006x = 44,674,907,786,055,352,320
  5. Step 5: Solve for x
    x = 44,674,907,786,055,352,320/4,304,853,006
  6. Step 6: Final answer
    x = 10,377,800,989.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.