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Finding the Third Proportional to 32,896,298 and 71,284,152

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Solution

The third proportional to 32,896,298 and 71,284,152 is: 154,468,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896,298 : 71,284,152 = 71,284,152 : x
  2. Step 2: Convert to fraction form
    32,896,298/71,284,152 = 71,284,152/x
  3. Step 3: Cross multiply
    32,896,298x = 71,284,152 × 71,284,152
  4. Step 4: Simplify right side
    32,896,298x = 5,081,430,326,359,104
  5. Step 5: Solve for x
    x = 5,081,430,326,359,104/32,896,298
  6. Step 6: Final answer
    x = 154,468,150.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.