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Finding the Third Proportional to 4,389,266,456 and 6,686,801,412

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Solution

The third proportional to 4,389,266,456 and 6,686,801,412 is: 10,186,967,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389,266,456 : 6,686,801,412 = 6,686,801,412 : x
  2. Step 2: Convert to fraction form
    4,389,266,456/6,686,801,412 = 6,686,801,412/x
  3. Step 3: Cross multiply
    4,389,266,456x = 6,686,801,412 × 6,686,801,412
  4. Step 4: Simplify right side
    4,389,266,456x = 44,713,313,123,525,197,824
  5. Step 5: Solve for x
    x = 44,713,313,123,525,197,824/4,389,266,456
  6. Step 6: Final answer
    x = 10,186,967,132.61

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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.