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Finding the Third Proportional to 3,231,545,220 and 4,912,475,142

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Solution

The third proportional to 3,231,545,220 and 4,912,475,142 is: 7,467,762,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231,545,220 : 4,912,475,142 = 4,912,475,142 : x
  2. Step 2: Convert to fraction form
    3,231,545,220/4,912,475,142 = 4,912,475,142/x
  3. Step 3: Cross multiply
    3,231,545,220x = 4,912,475,142 × 4,912,475,142
  4. Step 4: Simplify right side
    3,231,545,220x = 24,132,412,020,767,920,128
  5. Step 5: Solve for x
    x = 24,132,412,020,767,920,128/3,231,545,220
  6. Step 6: Final answer
    x = 7,467,762,441.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.