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Finding the Third Proportional to 19,143,009 and 42,005,497.50

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Solution

The third proportional to 19,143,009 and 42,005,497.50 is: 92,172,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,143,009 : 42,005,497.50 = 42,005,497.50 : x
  2. Step 2: Convert to fraction form
    19,143,009/42,005,497.50 = 42,005,497.50/x
  3. Step 3: Cross multiply
    19,143,009x = 42,005,497.50 × 42,005,497.50
  4. Step 4: Simplify right side
    19,143,009x = 1,764,461,820,222,506.25
  5. Step 5: Solve for x
    x = 1,764,461,820,222,506.25/19,143,009
  6. Step 6: Final answer
    x = 92,172,647.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.