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Finding the Third Proportional to 850,201,164 and 1,388,301,930

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Solution

The third proportional to 850,201,164 and 1,388,301,930 is: 2,266,972,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,201,164 : 1,388,301,930 = 1,388,301,930 : x
  2. Step 2: Convert to fraction form
    850,201,164/1,388,301,930 = 1,388,301,930/x
  3. Step 3: Cross multiply
    850,201,164x = 1,388,301,930 × 1,388,301,930
  4. Step 4: Simplify right side
    850,201,164x = 1,927,382,248,841,724,928
  5. Step 5: Solve for x
    x = 1,927,382,248,841,724,928/850,201,164
  6. Step 6: Final answer
    x = 2,266,972,018.45

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.