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Finding the Third Proportional to 8,130,970.13 and 11,971,631.25

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Solution

The third proportional to 8,130,970.13 and 11,971,631.25 is: 17,626,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130,970.13 : 11,971,631.25 = 11,971,631.25 : x
  2. Step 2: Convert to fraction form
    8,130,970.13/11,971,631.25 = 11,971,631.25/x
  3. Step 3: Cross multiply
    8,130,970.13x = 11,971,631.25 × 11,971,631.25
  4. Step 4: Simplify right side
    8,130,970.13x = 143,319,954,785,976.56
  5. Step 5: Solve for x
    x = 143,319,954,785,976.56/8,130,970.13
  6. Step 6: Final answer
    x = 17,626,427.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.