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Finding the Third Proportional to 17,201,814,299,798 and 36,857,232,503,252

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Solution

The third proportional to 17,201,814,299,798 and 36,857,232,503,252 is: 78,971,645,904,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201,814,299,798 : 36,857,232,503,252 = 36,857,232,503,252 : x
  2. Step 2: Convert to fraction form
    17,201,814,299,798/36,857,232,503,252 = 36,857,232,503,252/x
  3. Step 3: Cross multiply
    17,201,814,299,798x = 36,857,232,503,252 × 36,857,232,503,252
  4. Step 4: Simplify right side
    17,201,814,299,798x = 1,358,455,587,798,775,769,048,547,328
  5. Step 5: Solve for x
    x = 1,358,455,587,798,775,769,048,547,328/17,201,814,299,798
  6. Step 6: Final answer
    x = 78,971,645,904,509.50

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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.