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Finding the Third Proportional to 9,829,200.94 and 15,385,510.13

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Solution

The third proportional to 9,829,200.94 and 15,385,510.13 is: 24,082,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,200.94 : 15,385,510.13 = 15,385,510.13 : x
  2. Step 2: Convert to fraction form
    9,829,200.94/15,385,510.13 = 15,385,510.13/x
  3. Step 3: Cross multiply
    9,829,200.94x = 15,385,510.13 × 15,385,510.13
  4. Step 4: Simplify right side
    9,829,200.94x = 236,713,921,806,477.50
  5. Step 5: Solve for x
    x = 236,713,921,806,477.50/9,829,200.94
  6. Step 6: Final answer
    x = 24,082,722.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.