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Finding the Third Proportional to 2,005,133 and 4,329,893.50

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Solution

The third proportional to 2,005,133 and 4,329,893.50 is: 9,349,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,133 : 4,329,893.50 = 4,329,893.50 : x
  2. Step 2: Convert to fraction form
    2,005,133/4,329,893.50 = 4,329,893.50/x
  3. Step 3: Cross multiply
    2,005,133x = 4,329,893.50 × 4,329,893.50
  4. Step 4: Simplify right side
    2,005,133x = 18,747,977,721,342.25
  5. Step 5: Solve for x
    x = 18,747,977,721,342.25/2,005,133
  6. Step 6: Final answer
    x = 9,349,992.11

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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.