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Finding the Third Proportional to 1,535,417,978 and 3,315,498,112

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Solution

The third proportional to 1,535,417,978 and 3,315,498,112 is: 7,159,306,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,417,978 : 3,315,498,112 = 3,315,498,112 : x
  2. Step 2: Convert to fraction form
    1,535,417,978/3,315,498,112 = 3,315,498,112/x
  3. Step 3: Cross multiply
    1,535,417,978x = 3,315,498,112 × 3,315,498,112
  4. Step 4: Simplify right side
    1,535,417,978x = 10,992,527,730,675,564,544
  5. Step 5: Solve for x
    x = 10,992,527,730,675,564,544/1,535,417,978
  6. Step 6: Final answer
    x = 7,159,306,383.13

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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.