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Finding the Third Proportional to 9,833,714 and 21,460,612

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Solution

The third proportional to 9,833,714 and 21,460,612 is: 46,834,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833,714 : 21,460,612 = 21,460,612 : x
  2. Step 2: Convert to fraction form
    9,833,714/21,460,612 = 21,460,612/x
  3. Step 3: Cross multiply
    9,833,714x = 21,460,612 × 21,460,612
  4. Step 4: Simplify right side
    9,833,714x = 460,557,867,414,544
  5. Step 5: Solve for x
    x = 460,557,867,414,544/9,833,714
  6. Step 6: Final answer
    x = 46,834,580.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.