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Finding the Third Proportional to 22,270,719 and 46,578,036

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Solution

The third proportional to 22,270,719 and 46,578,036 is: 97,415,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270,719 : 46,578,036 = 46,578,036 : x
  2. Step 2: Convert to fraction form
    22,270,719/46,578,036 = 46,578,036/x
  3. Step 3: Cross multiply
    22,270,719x = 46,578,036 × 46,578,036
  4. Step 4: Simplify right side
    22,270,719x = 2,169,513,437,617,296
  5. Step 5: Solve for x
    x = 2,169,513,437,617,296/22,270,719
  6. Step 6: Final answer
    x = 97,415,509.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.