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Finding the Third Proportional to 4,304,853,008 and 6,683,929,071

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Solution

The third proportional to 4,304,853,008 and 6,683,929,071 is: 10,377,800,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304,853,008 : 6,683,929,071 = 6,683,929,071 : x
  2. Step 2: Convert to fraction form
    4,304,853,008/6,683,929,071 = 6,683,929,071/x
  3. Step 3: Cross multiply
    4,304,853,008x = 6,683,929,071 × 6,683,929,071
  4. Step 4: Simplify right side
    4,304,853,008x = 44,674,907,826,158,919,680
  5. Step 5: Solve for x
    x = 44,674,907,826,158,919,680/4,304,853,008
  6. Step 6: Final answer
    x = 10,377,800,994.17

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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.