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Finding the Third Proportional to 4,646,946 and 10,065,903

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Solution

The third proportional to 4,646,946 and 10,065,903 is: 21,804,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646,946 : 10,065,903 = 10,065,903 : x
  2. Step 2: Convert to fraction form
    4,646,946/10,065,903 = 10,065,903/x
  3. Step 3: Cross multiply
    4,646,946x = 10,065,903 × 10,065,903
  4. Step 4: Simplify right side
    4,646,946x = 101,322,403,205,409
  5. Step 5: Solve for x
    x = 101,322,403,205,409/4,646,946
  6. Step 6: Final answer
    x = 21,804,084.49

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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.