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Finding the Third Proportional to 18,556,679,681,534 and 37,642,480,091,661

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Solution

The third proportional to 18,556,679,681,534 and 37,642,480,091,661 is: 76,358,288,862,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,556,679,681,534 : 37,642,480,091,661 = 37,642,480,091,661 : x
  2. Step 2: Convert to fraction form
    18,556,679,681,534/37,642,480,091,661 = 37,642,480,091,661/x
  3. Step 3: Cross multiply
    18,556,679,681,534x = 37,642,480,091,661 × 37,642,480,091,661
  4. Step 4: Simplify right side
    18,556,679,681,534x = 1,416,956,307,451,094,712,952,291,328
  5. Step 5: Solve for x
    x = 1,416,956,307,451,094,712,952,291,328/18,556,679,681,534
  6. Step 6: Final answer
    x = 76,358,288,862,480.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.