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Finding the Third Proportional to 9,833,769 and 21,460,770

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Solution

The third proportional to 9,833,769 and 21,460,770 is: 46,835,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833,769 : 21,460,770 = 21,460,770 : x
  2. Step 2: Convert to fraction form
    9,833,769/21,460,770 = 21,460,770/x
  3. Step 3: Cross multiply
    9,833,769x = 21,460,770 × 21,460,770
  4. Step 4: Simplify right side
    9,833,769x = 460,564,648,992,900
  5. Step 5: Solve for x
    x = 460,564,648,992,900/9,833,769
  6. Step 6: Final answer
    x = 46,835,007.92

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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.