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Finding the Third Proportional to 908,611,977 and 1,976,421,426

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Solution

The third proportional to 908,611,977 and 1,976,421,426 is: 4,299,130,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,611,977 : 1,976,421,426 = 1,976,421,426 : x
  2. Step 2: Convert to fraction form
    908,611,977/1,976,421,426 = 1,976,421,426/x
  3. Step 3: Cross multiply
    908,611,977x = 1,976,421,426 × 1,976,421,426
  4. Step 4: Simplify right side
    908,611,977x = 3,906,241,653,151,873,536
  5. Step 5: Solve for x
    x = 3,906,241,653,151,873,536/908,611,977
  6. Step 6: Final answer
    x = 4,299,130,709.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.