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Finding the Third Proportional to 9,605,946 and 21,080,785.50

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Solution

The third proportional to 9,605,946 and 21,080,785.50 is: 46,262,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605,946 : 21,080,785.50 = 21,080,785.50 : x
  2. Step 2: Convert to fraction form
    9,605,946/21,080,785.50 = 21,080,785.50/x
  3. Step 3: Cross multiply
    9,605,946x = 21,080,785.50 × 21,080,785.50
  4. Step 4: Simplify right side
    9,605,946x = 444,399,517,297,010.25
  5. Step 5: Solve for x
    x = 444,399,517,297,010.25/9,605,946
  6. Step 6: Final answer
    x = 46,262,962.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.