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Finding the Third Proportional to 340,843,885 and 736,168,666

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Solution

The third proportional to 340,843,885 and 736,168,666 is: 1,590,007,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,843,885 : 736,168,666 = 736,168,666 : x
  2. Step 2: Convert to fraction form
    340,843,885/736,168,666 = 736,168,666/x
  3. Step 3: Cross multiply
    340,843,885x = 736,168,666 × 736,168,666
  4. Step 4: Simplify right side
    340,843,885x = 541,944,304,800,219,584
  5. Step 5: Solve for x
    x = 541,944,304,800,219,584/340,843,885
  6. Step 6: Final answer
    x = 1,590,007,415.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.