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Finding the Third Proportional to 1,666,227,020.50 and 3,583,215,461

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Solution

The third proportional to 1,666,227,020.50 and 3,583,215,461 is: 7,705,692,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,227,020.50 : 3,583,215,461 = 3,583,215,461 : x
  2. Step 2: Convert to fraction form
    1,666,227,020.50/3,583,215,461 = 3,583,215,461/x
  3. Step 3: Cross multiply
    1,666,227,020.50x = 3,583,215,461 × 3,583,215,461
  4. Step 4: Simplify right side
    1,666,227,020.50x = 12,839,433,039,949,443,072
  5. Step 5: Solve for x
    x = 12,839,433,039,949,443,072/1,666,227,020.50
  6. Step 6: Final answer
    x = 7,705,692,490.87

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Why These Related Problems?

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