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Finding the Third Proportional to 4,325,202,542 and 6,700,306,666

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Solution

The third proportional to 4,325,202,542 and 6,700,306,666 is: 10,379,654,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325,202,542 : 6,700,306,666 = 6,700,306,666 : x
  2. Step 2: Convert to fraction form
    4,325,202,542/6,700,306,666 = 6,700,306,666/x
  3. Step 3: Cross multiply
    4,325,202,542x = 6,700,306,666 × 6,700,306,666
  4. Step 4: Simplify right side
    4,325,202,542x = 44,894,109,418,444,038,144
  5. Step 5: Solve for x
    x = 44,894,109,418,444,038,144/4,325,202,542
  6. Step 6: Final answer
    x = 10,379,654,821.36

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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.