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Finding the Third Proportional to 7,633,077 and 16,461,862

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Solution

The third proportional to 7,633,077 and 16,461,862 is: 35,502,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633,077 : 16,461,862 = 16,461,862 : x
  2. Step 2: Convert to fraction form
    7,633,077/16,461,862 = 16,461,862/x
  3. Step 3: Cross multiply
    7,633,077x = 16,461,862 × 16,461,862
  4. Step 4: Simplify right side
    7,633,077x = 270,992,900,507,044
  5. Step 5: Solve for x
    x = 270,992,900,507,044/7,633,077
  6. Step 6: Final answer
    x = 35,502,445.54

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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.