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Finding the Third Proportional to 32,382,023 and 70,144,888

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Solution

The third proportional to 32,382,023 and 70,144,888 is: 151,945,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382,023 : 70,144,888 = 70,144,888 : x
  2. Step 2: Convert to fraction form
    32,382,023/70,144,888 = 70,144,888/x
  3. Step 3: Cross multiply
    32,382,023x = 70,144,888 × 70,144,888
  4. Step 4: Simplify right side
    32,382,023x = 4,920,305,312,532,544
  5. Step 5: Solve for x
    x = 4,920,305,312,532,544/32,382,023
  6. Step 6: Final answer
    x = 151,945,581.43

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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.