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Finding the Third Proportional to 3,509,128 and 7,652,864

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Solution

The third proportional to 3,509,128 and 7,652,864 is: 16,689,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509,128 : 7,652,864 = 7,652,864 : x
  2. Step 2: Convert to fraction form
    3,509,128/7,652,864 = 7,652,864/x
  3. Step 3: Cross multiply
    3,509,128x = 7,652,864 × 7,652,864
  4. Step 4: Simplify right side
    3,509,128x = 58,566,327,402,496
  5. Step 5: Solve for x
    x = 58,566,327,402,496/3,509,128
  6. Step 6: Final answer
    x = 16,689,709.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.