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Finding the Third Proportional to 9,651,280.50 and 14,181,403.50

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Solution

The third proportional to 9,651,280.50 and 14,181,403.50 is: 20,837,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651,280.50 : 14,181,403.50 = 14,181,403.50 : x
  2. Step 2: Convert to fraction form
    9,651,280.50/14,181,403.50 = 14,181,403.50/x
  3. Step 3: Cross multiply
    9,651,280.50x = 14,181,403.50 × 14,181,403.50
  4. Step 4: Simplify right side
    9,651,280.50x = 201,112,205,229,812.25
  5. Step 5: Solve for x
    x = 201,112,205,229,812.25/9,651,280.50
  6. Step 6: Final answer
    x = 20,837,877.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.