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Finding the Third Proportional to 2,157,531,276 and 4,735,015,704

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Solution

The third proportional to 2,157,531,276 and 4,735,015,704 is: 10,391,679,586.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157,531,276 : 4,735,015,704 = 4,735,015,704 : x
  2. Step 2: Convert to fraction form
    2,157,531,276/4,735,015,704 = 4,735,015,704/x
  3. Step 3: Cross multiply
    2,157,531,276x = 4,735,015,704 × 4,735,015,704
  4. Step 4: Simplify right side
    2,157,531,276x = 22,420,373,717,126,615,040
  5. Step 5: Solve for x
    x = 22,420,373,717,126,615,040/2,157,531,276
  6. Step 6: Final answer
    x = 10,391,679,586.07

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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.