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Finding the Third Proportional to 10,409,255,776 and 15,857,947,062

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Solution

The third proportional to 10,409,255,776 and 15,857,947,062 is: 24,158,738,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409,255,776 : 15,857,947,062 = 15,857,947,062 : x
  2. Step 2: Convert to fraction form
    10,409,255,776/15,857,947,062 = 15,857,947,062/x
  3. Step 3: Cross multiply
    10,409,255,776x = 15,857,947,062 × 15,857,947,062
  4. Step 4: Simplify right side
    10,409,255,776x = 251,474,485,021,194,420,224
  5. Step 5: Solve for x
    x = 251,474,485,021,194,420,224/10,409,255,776
  6. Step 6: Final answer
    x = 24,158,738,187.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.