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Finding the Third Proportional to 4,861,818,838.12 and 11,254,409,875.13

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Solution

The third proportional to 4,861,818,838.12 and 11,254,409,875.13 is: 26,052,336,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861,818,838.12 : 11,254,409,875.13 = 11,254,409,875.13 : x
  2. Step 2: Convert to fraction form
    4,861,818,838.12/11,254,409,875.13 = 11,254,409,875.13/x
  3. Step 3: Cross multiply
    4,861,818,838.12x = 11,254,409,875.13 × 11,254,409,875.13
  4. Step 4: Simplify right side
    4,861,818,838.12x = 126,661,741,637,311,119,360
  5. Step 5: Solve for x
    x = 126,661,741,637,311,119,360/4,861,818,838.12
  6. Step 6: Final answer
    x = 26,052,336,760.08

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.