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Finding the Third Proportional to 7,084,513.13 and 14,673,129.75

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Solution

The third proportional to 7,084,513.13 and 14,673,129.75 is: 30,390,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084,513.13 : 14,673,129.75 = 14,673,129.75 : x
  2. Step 2: Convert to fraction form
    7,084,513.13/14,673,129.75 = 14,673,129.75/x
  3. Step 3: Cross multiply
    7,084,513.13x = 14,673,129.75 × 14,673,129.75
  4. Step 4: Simplify right side
    7,084,513.13x = 215,300,736,660,335.06
  5. Step 5: Solve for x
    x = 215,300,736,660,335.06/7,084,513.13
  6. Step 6: Final answer
    x = 30,390,336.34

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.