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Finding the Third Proportional to 9,983,781.75 and 14,267,084.25

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Solution

The third proportional to 9,983,781.75 and 14,267,084.25 is: 20,388,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983,781.75 : 14,267,084.25 = 14,267,084.25 : x
  2. Step 2: Convert to fraction form
    9,983,781.75/14,267,084.25 = 14,267,084.25/x
  3. Step 3: Cross multiply
    9,983,781.75x = 14,267,084.25 × 14,267,084.25
  4. Step 4: Simplify right side
    9,983,781.75x = 203,549,692,996,598.06
  5. Step 5: Solve for x
    x = 203,549,692,996,598.06/9,983,781.75
  6. Step 6: Final answer
    x = 20,388,035.12

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.