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Finding the Third Proportional to 13,828,944 and 29,873,610

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Solution

The third proportional to 13,828,944 and 29,873,610 is: 64,533,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828,944 : 29,873,610 = 29,873,610 : x
  2. Step 2: Convert to fraction form
    13,828,944/29,873,610 = 29,873,610/x
  3. Step 3: Cross multiply
    13,828,944x = 29,873,610 × 29,873,610
  4. Step 4: Simplify right side
    13,828,944x = 892,432,574,432,100
  5. Step 5: Solve for x
    x = 892,432,574,432,100/13,828,944
  6. Step 6: Final answer
    x = 64,533,674.76

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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.