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Finding the Third Proportional to 1,666,226,907 and 3,583,215,235

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Solution

The third proportional to 1,666,226,907 and 3,583,215,235 is: 7,705,692,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,226,907 : 3,583,215,235 = 3,583,215,235 : x
  2. Step 2: Convert to fraction form
    1,666,226,907/3,583,215,235 = 3,583,215,235/x
  3. Step 3: Cross multiply
    1,666,226,907x = 3,583,215,235 × 3,583,215,235
  4. Step 4: Simplify right side
    1,666,226,907x = 12,839,431,420,336,105,472
  5. Step 5: Solve for x
    x = 12,839,431,420,336,105,472/1,666,226,907
  6. Step 6: Final answer
    x = 7,705,692,043.74

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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.