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Finding the Third Proportional to 16,039,116 and 32,928,511.50

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Solution

The third proportional to 16,039,116 and 32,928,511.50 is: 67,602,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039,116 : 32,928,511.50 = 32,928,511.50 : x
  2. Step 2: Convert to fraction form
    16,039,116/32,928,511.50 = 32,928,511.50/x
  3. Step 3: Cross multiply
    16,039,116x = 32,928,511.50 × 32,928,511.50
  4. Step 4: Simplify right side
    16,039,116x = 1,084,286,869,605,632.25
  5. Step 5: Solve for x
    x = 1,084,286,869,605,632.25/16,039,116
  6. Step 6: Final answer
    x = 67,602,657.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.