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Finding the Third Proportional to 6,659,694,651,196 and 10,596,883,380,402

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Solution

The third proportional to 6,659,694,651,196 and 10,596,883,380,402 is: 16,861,724,637,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659,694,651,196 : 10,596,883,380,402 = 10,596,883,380,402 : x
  2. Step 2: Convert to fraction form
    6,659,694,651,196/10,596,883,380,402 = 10,596,883,380,402/x
  3. Step 3: Cross multiply
    6,659,694,651,196x = 10,596,883,380,402 × 10,596,883,380,402
  4. Step 4: Simplify right side
    6,659,694,651,196x = 112,293,937,377,840,118,915,661,824
  5. Step 5: Solve for x
    x = 112,293,937,377,840,118,915,661,824/6,659,694,651,196
  6. Step 6: Final answer
    x = 16,861,724,637,431.16

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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.