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Finding the Third Proportional to 921,020,166 and 2,003,412,216

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Solution

The third proportional to 921,020,166 and 2,003,412,216 is: 4,357,842,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,020,166 : 2,003,412,216 = 2,003,412,216 : x
  2. Step 2: Convert to fraction form
    921,020,166/2,003,412,216 = 2,003,412,216/x
  3. Step 3: Cross multiply
    921,020,166x = 2,003,412,216 × 2,003,412,216
  4. Step 4: Simplify right side
    921,020,166x = 4,013,660,507,218,030,592
  5. Step 5: Solve for x
    x = 4,013,660,507,218,030,592/921,020,166
  6. Step 6: Final answer
    x = 4,357,842,157.41

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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.