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Finding the Third Proportional to 19,190,236.50 and 45,301,612.50

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Solution

The third proportional to 19,190,236.50 and 45,301,612.50 is: 106,941,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,190,236.50 : 45,301,612.50 = 45,301,612.50 : x
  2. Step 2: Convert to fraction form
    19,190,236.50/45,301,612.50 = 45,301,612.50/x
  3. Step 3: Cross multiply
    19,190,236.50x = 45,301,612.50 × 45,301,612.50
  4. Step 4: Simplify right side
    19,190,236.50x = 2,052,236,095,100,156.25
  5. Step 5: Solve for x
    x = 2,052,236,095,100,156.25/19,190,236.50
  6. Step 6: Final answer
    x = 106,941,678.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.