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Finding the Third Proportional to 425,163,684 and 607,984,830

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Solution

The third proportional to 425,163,684 and 607,984,830 is: 869,419,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,163,684 : 607,984,830 = 607,984,830 : x
  2. Step 2: Convert to fraction form
    425,163,684/607,984,830 = 607,984,830/x
  3. Step 3: Cross multiply
    425,163,684x = 607,984,830 × 607,984,830
  4. Step 4: Simplify right side
    425,163,684x = 369,645,553,510,128,896
  5. Step 5: Solve for x
    x = 369,645,553,510,128,896/425,163,684
  6. Step 6: Final answer
    x = 869,419,396.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.