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Finding the Third Proportional to 413,963,069 and 840,090,231

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Solution

The third proportional to 413,963,069 and 840,090,231 is: 1,704,866,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,963,069 : 840,090,231 = 840,090,231 : x
  2. Step 2: Convert to fraction form
    413,963,069/840,090,231 = 840,090,231/x
  3. Step 3: Cross multiply
    413,963,069x = 840,090,231 × 840,090,231
  4. Step 4: Simplify right side
    413,963,069x = 705,751,596,221,633,408
  5. Step 5: Solve for x
    x = 705,751,596,221,633,408/413,963,069
  6. Step 6: Final answer
    x = 1,704,866,083.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.