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Finding the Third Proportional to 8,440,867,873 and 17,973,433,658

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Solution

The third proportional to 8,440,867,873 and 17,973,433,658 is: 38,271,457,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440,867,873 : 17,973,433,658 = 17,973,433,658 : x
  2. Step 2: Convert to fraction form
    8,440,867,873/17,973,433,658 = 17,973,433,658/x
  3. Step 3: Cross multiply
    8,440,867,873x = 17,973,433,658 × 17,973,433,658
  4. Step 4: Simplify right side
    8,440,867,873x = 323,044,317,458,527,289,344
  5. Step 5: Solve for x
    x = 323,044,317,458,527,289,344/8,440,867,873
  6. Step 6: Final answer
    x = 38,271,457,665.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.