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Finding the Third Proportional to 9,525,485.25 and 14,309,686.13

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Solution

The third proportional to 9,525,485.25 and 14,309,686.13 is: 21,496,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525,485.25 : 14,309,686.13 = 14,309,686.13 : x
  2. Step 2: Convert to fraction form
    9,525,485.25/14,309,686.13 = 14,309,686.13/x
  3. Step 3: Cross multiply
    9,525,485.25x = 14,309,686.13 × 14,309,686.13
  4. Step 4: Simplify right side
    9,525,485.25x = 204,767,116,996,017.50
  5. Step 5: Solve for x
    x = 204,767,116,996,017.50/9,525,485.25
  6. Step 6: Final answer
    x = 21,496,764.90

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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.