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Finding the Third Proportional to 4,661,029,404 and 9,986,890,536

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Solution

The third proportional to 4,661,029,404 and 9,986,890,536 is: 21,398,273,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661,029,404 : 9,986,890,536 = 9,986,890,536 : x
  2. Step 2: Convert to fraction form
    4,661,029,404/9,986,890,536 = 9,986,890,536/x
  3. Step 3: Cross multiply
    4,661,029,404x = 9,986,890,536 × 9,986,890,536
  4. Step 4: Simplify right side
    4,661,029,404x = 99,737,982,578,046,369,792
  5. Step 5: Solve for x
    x = 99,737,982,578,046,369,792/4,661,029,404
  6. Step 6: Final answer
    x = 21,398,273,628.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.