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Finding the Third Proportional to 1,666,227,672 and 3,583,216,764

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Solution

The third proportional to 1,666,227,672 and 3,583,216,764 is: 7,705,695,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,227,672 : 3,583,216,764 = 3,583,216,764 : x
  2. Step 2: Convert to fraction form
    1,666,227,672/3,583,216,764 = 3,583,216,764/x
  3. Step 3: Cross multiply
    1,666,227,672x = 3,583,216,764 × 3,583,216,764
  4. Step 4: Simplify right side
    1,666,227,672x = 12,839,442,377,810,632,704
  5. Step 5: Solve for x
    x = 12,839,442,377,810,632,704/1,666,227,672
  6. Step 6: Final answer
    x = 7,705,695,082.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.