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Finding the Third Proportional to 5,849,770 and 13,043,828

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Solution

The third proportional to 5,849,770 and 13,043,828 is: 29,085,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,770 : 13,043,828 = 13,043,828 : x
  2. Step 2: Convert to fraction form
    5,849,770/13,043,828 = 13,043,828/x
  3. Step 3: Cross multiply
    5,849,770x = 13,043,828 × 13,043,828
  4. Step 4: Simplify right side
    5,849,770x = 170,141,448,893,584
  5. Step 5: Solve for x
    x = 170,141,448,893,584/5,849,770
  6. Step 6: Final answer
    x = 29,085,151.88

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.