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Finding the Third Proportional to 21,742,769.25 and 46,597,950.21

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Solution

The third proportional to 21,742,769.25 and 46,597,950.21 is: 99,866,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742,769.25 : 46,597,950.21 = 46,597,950.21 : x
  2. Step 2: Convert to fraction form
    21,742,769.25/46,597,950.21 = 46,597,950.21/x
  3. Step 3: Cross multiply
    21,742,769.25x = 46,597,950.21 × 46,597,950.21
  4. Step 4: Simplify right side
    21,742,769.25x = 2,171,368,963,861,056.75
  5. Step 5: Solve for x
    x = 2,171,368,963,861,056.75/21,742,769.25
  6. Step 6: Final answer
    x = 99,866,256.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.