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Finding the Third Proportional to 7,084,533.38 and 14,673,170.25

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Solution

The third proportional to 7,084,533.38 and 14,673,170.25 is: 30,390,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084,533.38 : 14,673,170.25 = 14,673,170.25 : x
  2. Step 2: Convert to fraction form
    7,084,533.38/14,673,170.25 = 14,673,170.25/x
  3. Step 3: Cross multiply
    7,084,533.38x = 14,673,170.25 × 14,673,170.25
  4. Step 4: Simplify right side
    7,084,533.38x = 215,301,925,185,485.06
  5. Step 5: Solve for x
    x = 215,301,925,185,485.06/7,084,533.38
  6. Step 6: Final answer
    x = 30,390,417.24

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Why These Related Problems?

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