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Finding the Third Proportional to 4,468,153.50 and 9,644,895.75

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Solution

The third proportional to 4,468,153.50 and 9,644,895.75 is: 20,819,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468,153.50 : 9,644,895.75 = 9,644,895.75 : x
  2. Step 2: Convert to fraction form
    4,468,153.50/9,644,895.75 = 9,644,895.75/x
  3. Step 3: Cross multiply
    4,468,153.50x = 9,644,895.75 × 9,644,895.75
  4. Step 4: Simplify right side
    4,468,153.50x = 93,024,014,028,368.06
  5. Step 5: Solve for x
    x = 93,024,014,028,368.06/4,468,153.50
  6. Step 6: Final answer
    x = 20,819,341.60

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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.