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Finding the Third Proportional to 4,304,853,002.63 and 6,683,929,060

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Solution

The third proportional to 4,304,853,002.63 and 6,683,929,060 is: 10,377,800,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304,853,002.63 : 6,683,929,060 = 6,683,929,060 : x
  2. Step 2: Convert to fraction form
    4,304,853,002.63/6,683,929,060 = 6,683,929,060/x
  3. Step 3: Cross multiply
    4,304,853,002.63x = 6,683,929,060 × 6,683,929,060
  4. Step 4: Simplify right side
    4,304,853,002.63x = 44,674,907,679,112,486,912
  5. Step 5: Solve for x
    x = 44,674,907,679,112,486,912/4,304,853,002.63
  6. Step 6: Final answer
    x = 10,377,800,972.96

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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.