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Finding the Third Proportional to 9,494,020.13 and 14,710,141.69

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Solution

The third proportional to 9,494,020.13 and 14,710,141.69 is: 22,792,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494,020.13 : 14,710,141.69 = 14,710,141.69 : x
  2. Step 2: Convert to fraction form
    9,494,020.13/14,710,141.69 = 14,710,141.69/x
  3. Step 3: Cross multiply
    9,494,020.13x = 14,710,141.69 × 14,710,141.69
  4. Step 4: Simplify right side
    9,494,020.13x = 216,388,268,466,325.34
  5. Step 5: Solve for x
    x = 216,388,268,466,325.34/9,494,020.13
  6. Step 6: Final answer
    x = 22,792,059.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.