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Finding the Third Proportional to 17,201,814,299,822 and 36,857,232,503,308

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Solution

The third proportional to 17,201,814,299,822 and 36,857,232,503,308 is: 78,971,645,904,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201,814,299,822 : 36,857,232,503,308 = 36,857,232,503,308 : x
  2. Step 2: Convert to fraction form
    17,201,814,299,822/36,857,232,503,308 = 36,857,232,503,308/x
  3. Step 3: Cross multiply
    17,201,814,299,822x = 36,857,232,503,308 × 36,857,232,503,308
  4. Step 4: Simplify right side
    17,201,814,299,822x = 1,358,455,587,802,903,610,577,125,376
  5. Step 5: Solve for x
    x = 1,358,455,587,802,903,610,577,125,376/17,201,814,299,822
  6. Step 6: Final answer
    x = 78,971,645,904,639.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.