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Finding the Third Proportional to 21,188,823 and 45,736,878

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Solution

The third proportional to 21,188,823 and 45,736,878 is: 98,724,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188,823 : 45,736,878 = 45,736,878 : x
  2. Step 2: Convert to fraction form
    21,188,823/45,736,878 = 45,736,878/x
  3. Step 3: Cross multiply
    21,188,823x = 45,736,878 × 45,736,878
  4. Step 4: Simplify right side
    21,188,823x = 2,091,862,009,186,884
  5. Step 5: Solve for x
    x = 2,091,862,009,186,884/21,188,823
  6. Step 6: Final answer
    x = 98,724,785.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.