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Finding the Third Proportional to 8,961,467,298 and 12,946,658,013

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Solution

The third proportional to 8,961,467,298 and 12,946,658,013 is: 18,704,074,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961,467,298 : 12,946,658,013 = 12,946,658,013 : x
  2. Step 2: Convert to fraction form
    8,961,467,298/12,946,658,013 = 12,946,658,013/x
  3. Step 3: Cross multiply
    8,961,467,298x = 12,946,658,013 × 12,946,658,013
  4. Step 4: Simplify right side
    8,961,467,298x = 167,615,953,705,577,119,744
  5. Step 5: Solve for x
    x = 167,615,953,705,577,119,744/8,961,467,298
  6. Step 6: Final answer
    x = 18,704,074,693.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.