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Finding the Third Proportional to 17,235,365,416 and 37,695,587,408

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Solution

The third proportional to 17,235,365,416 and 37,695,587,408 is: 82,444,281,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235,365,416 : 37,695,587,408 = 37,695,587,408 : x
  2. Step 2: Convert to fraction form
    17,235,365,416/37,695,587,408 = 37,695,587,408/x
  3. Step 3: Cross multiply
    17,235,365,416x = 37,695,587,408 × 37,695,587,408
  4. Step 4: Simplify right side
    17,235,365,416x = 1,420,957,310,034,168,250,368
  5. Step 5: Solve for x
    x = 1,420,957,310,034,168,250,368/17,235,365,416
  6. Step 6: Final answer
    x = 82,444,281,031.32

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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.