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Finding the Third Proportional to 763,012,383.47 and 1,642,939,804.97

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Solution

The third proportional to 763,012,383.47 and 1,642,939,804.97 is: 3,537,624,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,012,383.47 : 1,642,939,804.97 = 1,642,939,804.97 : x
  2. Step 2: Convert to fraction form
    763,012,383.47/1,642,939,804.97 = 1,642,939,804.97/x
  3. Step 3: Cross multiply
    763,012,383.47x = 1,642,939,804.97 × 1,642,939,804.97
  4. Step 4: Simplify right side
    763,012,383.47x = 2,699,251,202,750,918,656
  5. Step 5: Solve for x
    x = 2,699,251,202,750,918,656/763,012,383.47
  6. Step 6: Final answer
    x = 3,537,624,370.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.