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Finding the Third Proportional to 8,440,867,873.50 and 17,973,433,659

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Solution

The third proportional to 8,440,867,873.50 and 17,973,433,659 is: 38,271,457,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440,867,873.50 : 17,973,433,659 = 17,973,433,659 : x
  2. Step 2: Convert to fraction form
    8,440,867,873.50/17,973,433,659 = 17,973,433,659/x
  3. Step 3: Cross multiply
    8,440,867,873.50x = 17,973,433,659 × 17,973,433,659
  4. Step 4: Simplify right side
    8,440,867,873.50x = 323,044,317,494,474,113,024
  5. Step 5: Solve for x
    x = 323,044,317,494,474,113,024/8,440,867,873.50
  6. Step 6: Final answer
    x = 38,271,457,667.13

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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.