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Finding the Third Proportional to 536,172,926 and 1,157,032,324

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Solution

The third proportional to 536,172,926 and 1,157,032,324 is: 2,496,813,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,172,926 : 1,157,032,324 = 1,157,032,324 : x
  2. Step 2: Convert to fraction form
    536,172,926/1,157,032,324 = 1,157,032,324/x
  3. Step 3: Cross multiply
    536,172,926x = 1,157,032,324 × 1,157,032,324
  4. Step 4: Simplify right side
    536,172,926x = 1,338,723,798,780,840,960
  5. Step 5: Solve for x
    x = 1,338,723,798,780,840,960/536,172,926
  6. Step 6: Final answer
    x = 2,496,813,497.78

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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.