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Finding the Third Proportional to 9,447,401.25 and 14,168,641.50

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Solution

The third proportional to 9,447,401.25 and 14,168,641.50 is: 21,249,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,401.25 : 14,168,641.50 = 14,168,641.50 : x
  2. Step 2: Convert to fraction form
    9,447,401.25/14,168,641.50 = 14,168,641.50/x
  3. Step 3: Cross multiply
    9,447,401.25x = 14,168,641.50 × 14,168,641.50
  4. Step 4: Simplify right side
    9,447,401.25x = 200,750,401,955,522.25
  5. Step 5: Solve for x
    x = 200,750,401,955,522.25/9,447,401.25
  6. Step 6: Final answer
    x = 21,249,272.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.