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Finding the Third Proportional to 13,884,015.73 and 29,901,620.81

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Solution

The third proportional to 13,884,015.73 and 29,901,620.81 is: 64,398,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884,015.73 : 29,901,620.81 = 29,901,620.81 : x
  2. Step 2: Convert to fraction form
    13,884,015.73/29,901,620.81 = 29,901,620.81/x
  3. Step 3: Cross multiply
    13,884,015.73x = 29,901,620.81 × 29,901,620.81
  4. Step 4: Simplify right side
    13,884,015.73x = 894,106,927,214,533.12
  5. Step 5: Solve for x
    x = 894,106,927,214,533.12/13,884,015.73
  6. Step 6: Final answer
    x = 64,398,294.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.