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Finding the Third Proportional to 4,389,266,436 and 6,686,801,382

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Solution

The third proportional to 4,389,266,436 and 6,686,801,382 is: 10,186,967,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389,266,436 : 6,686,801,382 = 6,686,801,382 : x
  2. Step 2: Convert to fraction form
    4,389,266,436/6,686,801,382 = 6,686,801,382/x
  3. Step 3: Cross multiply
    4,389,266,436x = 6,686,801,382 × 6,686,801,382
  4. Step 4: Simplify right side
    4,389,266,436x = 44,713,312,722,317,107,200
  5. Step 5: Solve for x
    x = 44,713,312,722,317,107,200/4,389,266,436
  6. Step 6: Final answer
    x = 10,186,967,087.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.