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Finding the Third Proportional to 2,329,014.50 and 5,032,005.50

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Solution

The third proportional to 2,329,014.50 and 5,032,005.50 is: 10,872,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329,014.50 : 5,032,005.50 = 5,032,005.50 : x
  2. Step 2: Convert to fraction form
    2,329,014.50/5,032,005.50 = 5,032,005.50/x
  3. Step 3: Cross multiply
    2,329,014.50x = 5,032,005.50 × 5,032,005.50
  4. Step 4: Simplify right side
    2,329,014.50x = 25,321,079,352,030.25
  5. Step 5: Solve for x
    x = 25,321,079,352,030.25/2,329,014.50
  6. Step 6: Final answer
    x = 10,872,014.47

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