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Finding the Third Proportional to 32,039,168 and 69,899,724

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Solution

The third proportional to 32,039,168 and 69,899,724 is: 152,499,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,039,168 : 69,899,724 = 69,899,724 : x
  2. Step 2: Convert to fraction form
    32,039,168/69,899,724 = 69,899,724/x
  3. Step 3: Cross multiply
    32,039,168x = 69,899,724 × 69,899,724
  4. Step 4: Simplify right side
    32,039,168x = 4,885,971,415,276,176
  5. Step 5: Solve for x
    x = 4,885,971,415,276,176/32,039,168
  6. Step 6: Final answer
    x = 152,499,946.79

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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.