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Finding the Third Proportional to 4,106,011,371 and 8,429,694,366

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Solution

The third proportional to 4,106,011,371 and 8,429,694,366 is: 17,306,271,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106,011,371 : 8,429,694,366 = 8,429,694,366 : x
  2. Step 2: Convert to fraction form
    4,106,011,371/8,429,694,366 = 8,429,694,366/x
  3. Step 3: Cross multiply
    4,106,011,371x = 8,429,694,366 × 8,429,694,366
  4. Step 4: Simplify right side
    4,106,011,371x = 71,059,747,104,172,138,496
  5. Step 5: Solve for x
    x = 71,059,747,104,172,138,496/4,106,011,371
  6. Step 6: Final answer
    x = 17,306,271,386.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.