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Finding the Third Proportional to 535,086,405 and 1,175,398,141.50

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Solution

The third proportional to 535,086,405 and 1,175,398,141.50 is: 2,581,939,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,086,405 : 1,175,398,141.50 = 1,175,398,141.50 : x
  2. Step 2: Convert to fraction form
    535,086,405/1,175,398,141.50 = 1,175,398,141.50/x
  3. Step 3: Cross multiply
    535,086,405x = 1,175,398,141.50 × 1,175,398,141.50
  4. Step 4: Simplify right side
    535,086,405x = 1,381,560,791,041,654,016
  5. Step 5: Solve for x
    x = 1,381,560,791,041,654,016/535,086,405
  6. Step 6: Final answer
    x = 2,581,939,623.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.