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Finding the Third Proportional to 425,163,365 and 607,984,338

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Solution

The third proportional to 425,163,365 and 607,984,338 is: 869,418,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,163,365 : 607,984,338 = 607,984,338 : x
  2. Step 2: Convert to fraction form
    425,163,365/607,984,338 = 607,984,338/x
  3. Step 3: Cross multiply
    425,163,365x = 607,984,338 × 607,984,338
  4. Step 4: Simplify right side
    425,163,365x = 369,644,955,253,298,240
  5. Step 5: Solve for x
    x = 369,644,955,253,298,240/425,163,365
  6. Step 6: Final answer
    x = 869,418,641.59

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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.