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Finding the Third Proportional to 13,827,297.75 and 19,918,688.25

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Solution

The third proportional to 13,827,297.75 and 19,918,688.25 is: 28,693,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827,297.75 : 19,918,688.25 = 19,918,688.25 : x
  2. Step 2: Convert to fraction form
    13,827,297.75/19,918,688.25 = 19,918,688.25/x
  3. Step 3: Cross multiply
    13,827,297.75x = 19,918,688.25 × 19,918,688.25
  4. Step 4: Simplify right side
    13,827,297.75x = 396,754,141,600,688.06
  5. Step 5: Solve for x
    x = 396,754,141,600,688.06/13,827,297.75
  6. Step 6: Final answer
    x = 28,693,541.48

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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.