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Finding the Third Proportional to 13,828,894 and 29,873,511

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Solution

The third proportional to 13,828,894 and 29,873,511 is: 64,533,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828,894 : 29,873,511 = 29,873,511 : x
  2. Step 2: Convert to fraction form
    13,828,894/29,873,511 = 29,873,511/x
  3. Step 3: Cross multiply
    13,828,894x = 29,873,511 × 29,873,511
  4. Step 4: Simplify right side
    13,828,894x = 892,426,659,467,121
  5. Step 5: Solve for x
    x = 892,426,659,467,121/13,828,894
  6. Step 6: Final answer
    x = 64,533,480.37

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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.