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Finding the Third Proportional to 323,549,118,532 and 703,413,690,536

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Solution

The third proportional to 323,549,118,532 and 703,413,690,536 is: 1,529,260,293,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,549,118,532 : 703,413,690,536 = 703,413,690,536 : x
  2. Step 2: Convert to fraction form
    323,549,118,532/703,413,690,536 = 703,413,690,536/x
  3. Step 3: Cross multiply
    323,549,118,532x = 703,413,690,536 × 703,413,690,536
  4. Step 4: Simplify right side
    323,549,118,532x = 494,790,820,033,475,593,109,504
  5. Step 5: Solve for x
    x = 494,790,820,033,475,593,109,504/323,549,118,532
  6. Step 6: Final answer
    x = 1,529,260,293,702.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.