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Finding the Third Proportional to 8,053,109,811,339 and 17,665,343,154,894

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Solution

The third proportional to 8,053,109,811,339 and 17,665,343,154,894 is: 38,750,787,719,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053,109,811,339 : 17,665,343,154,894 = 17,665,343,154,894 : x
  2. Step 2: Convert to fraction form
    8,053,109,811,339/17,665,343,154,894 = 17,665,343,154,894/x
  3. Step 3: Cross multiply
    8,053,109,811,339x = 17,665,343,154,894 × 17,665,343,154,894
  4. Step 4: Simplify right side
    8,053,109,811,339x = 312,064,348,780,160,281,858,801,664
  5. Step 5: Solve for x
    x = 312,064,348,780,160,281,858,801,664/8,053,109,811,339
  6. Step 6: Final answer
    x = 38,750,787,719,393.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.