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Finding the Third Proportional to 10,509,112.13 and 22,745,410.03

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Solution

The third proportional to 10,509,112.13 and 22,745,410.03 is: 49,229,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509,112.13 : 22,745,410.03 = 22,745,410.03 : x
  2. Step 2: Convert to fraction form
    10,509,112.13/22,745,410.03 = 22,745,410.03/x
  3. Step 3: Cross multiply
    10,509,112.13x = 22,745,410.03 × 22,745,410.03
  4. Step 4: Simplify right side
    10,509,112.13x = 517,353,677,489,688.12
  5. Step 5: Solve for x
    x = 517,353,677,489,688.12/10,509,112.13
  6. Step 6: Final answer
    x = 49,229,056.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.