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Finding the Third Proportional to 32,146,424 and 70,535,896

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Solution

The third proportional to 32,146,424 and 70,535,896 is: 154,770,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146,424 : 70,535,896 = 70,535,896 : x
  2. Step 2: Convert to fraction form
    32,146,424/70,535,896 = 70,535,896/x
  3. Step 3: Cross multiply
    32,146,424x = 70,535,896 × 70,535,896
  4. Step 4: Simplify right side
    32,146,424x = 4,975,312,624,522,816
  5. Step 5: Solve for x
    x = 4,975,312,624,522,816/32,146,424
  6. Step 6: Final answer
    x = 154,770,329.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.