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Finding the Third Proportional to 808,212,206 and 1,745,754,844

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Solution

The third proportional to 808,212,206 and 1,745,754,844 is: 3,770,866,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,212,206 : 1,745,754,844 = 1,745,754,844 : x
  2. Step 2: Convert to fraction form
    808,212,206/1,745,754,844 = 1,745,754,844/x
  3. Step 3: Cross multiply
    808,212,206x = 1,745,754,844 × 1,745,754,844
  4. Step 4: Simplify right side
    808,212,206x = 3,047,659,975,349,464,576
  5. Step 5: Solve for x
    x = 3,047,659,975,349,464,576/808,212,206
  6. Step 6: Final answer
    x = 3,770,866,058.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.