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Finding the Third Proportional to 13,769,352 and 29,970,648

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Solution

The third proportional to 13,769,352 and 29,970,648 is: 65,234,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769,352 : 29,970,648 = 29,970,648 : x
  2. Step 2: Convert to fraction form
    13,769,352/29,970,648 = 29,970,648/x
  3. Step 3: Cross multiply
    13,769,352x = 29,970,648 × 29,970,648
  4. Step 4: Simplify right side
    13,769,352x = 898,239,741,539,904
  5. Step 5: Solve for x
    x = 898,239,741,539,904/13,769,352
  6. Step 6: Final answer
    x = 65,234,714.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.