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Finding the Third Proportional to 7,014,705,446 and 15,264,281,812

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Solution

The third proportional to 7,014,705,446 and 15,264,281,812 is: 33,215,692,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014,705,446 : 15,264,281,812 = 15,264,281,812 : x
  2. Step 2: Convert to fraction form
    7,014,705,446/15,264,281,812 = 15,264,281,812/x
  3. Step 3: Cross multiply
    7,014,705,446x = 15,264,281,812 × 15,264,281,812
  4. Step 4: Simplify right side
    7,014,705,446x = 232,998,299,236,154,015,744
  5. Step 5: Solve for x
    x = 232,998,299,236,154,015,744/7,014,705,446
  6. Step 6: Final answer
    x = 33,215,692,523.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.