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Finding the Third Proportional to 13,827,303 and 19,918,696.50

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Solution

The third proportional to 13,827,303 and 19,918,696.50 is: 28,693,554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827,303 : 19,918,696.50 = 19,918,696.50 : x
  2. Step 2: Convert to fraction form
    13,827,303/19,918,696.50 = 19,918,696.50/x
  3. Step 3: Cross multiply
    13,827,303x = 19,918,696.50 × 19,918,696.50
  4. Step 4: Simplify right side
    13,827,303x = 396,754,470,259,112.25
  5. Step 5: Solve for x
    x = 396,754,470,259,112.25/13,827,303
  6. Step 6: Final answer
    x = 28,693,554.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.