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Finding the Third Proportional to 286,531,614 and 454,440,537

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Solution

The third proportional to 286,531,614 and 454,440,537 is: 720,744,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,531,614 : 454,440,537 = 454,440,537 : x
  2. Step 2: Convert to fraction form
    286,531,614/454,440,537 = 454,440,537/x
  3. Step 3: Cross multiply
    286,531,614x = 454,440,537 × 454,440,537
  4. Step 4: Simplify right side
    286,531,614x = 206,516,201,668,848,384
  5. Step 5: Solve for x
    x = 206,516,201,668,848,384/286,531,614
  6. Step 6: Final answer
    x = 720,744,907.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.