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Finding the Third Proportional to 9,833,619 and 21,460,470

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Solution

The third proportional to 9,833,619 and 21,460,470 is: 46,834,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833,619 : 21,460,470 = 21,460,470 : x
  2. Step 2: Convert to fraction form
    9,833,619/21,460,470 = 21,460,470/x
  3. Step 3: Cross multiply
    9,833,619x = 21,460,470 × 21,460,470
  4. Step 4: Simplify right side
    9,833,619x = 460,551,772,620,900
  5. Step 5: Solve for x
    x = 460,551,772,620,900/9,833,619
  6. Step 6: Final answer
    x = 46,834,412.91

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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.