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Finding the Third Proportional to 1,928,639,648 and 4,186,064,020

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Solution

The third proportional to 1,928,639,648 and 4,186,064,020 is: 9,085,747,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,639,648 : 4,186,064,020 = 4,186,064,020 : x
  2. Step 2: Convert to fraction form
    1,928,639,648/4,186,064,020 = 4,186,064,020/x
  3. Step 3: Cross multiply
    1,928,639,648x = 4,186,064,020 × 4,186,064,020
  4. Step 4: Simplify right side
    1,928,639,648x = 17,523,131,979,538,561,024
  5. Step 5: Solve for x
    x = 17,523,131,979,538,561,024/1,928,639,648
  6. Step 6: Final answer
    x = 9,085,747,043.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.