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Finding the Third Proportional to 4,559,170 and 9,874,904

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Solution

The third proportional to 4,559,170 and 9,874,904 is: 21,388,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559,170 : 9,874,904 = 9,874,904 : x
  2. Step 2: Convert to fraction form
    4,559,170/9,874,904 = 9,874,904/x
  3. Step 3: Cross multiply
    4,559,170x = 9,874,904 × 9,874,904
  4. Step 4: Simplify right side
    4,559,170x = 97,513,729,009,216
  5. Step 5: Solve for x
    x = 97,513,729,009,216/4,559,170
  6. Step 6: Final answer
    x = 21,388,482.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.