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Finding the Third Proportional to 53,241,714 and 114,553,620

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Solution

The third proportional to 53,241,714 and 114,553,620 is: 246,470,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,241,714 : 114,553,620 = 114,553,620 : x
  2. Step 2: Convert to fraction form
    53,241,714/114,553,620 = 114,553,620/x
  3. Step 3: Cross multiply
    53,241,714x = 114,553,620 × 114,553,620
  4. Step 4: Simplify right side
    53,241,714x = 13,122,531,855,104,400
  5. Step 5: Solve for x
    x = 13,122,531,855,104,400/53,241,714
  6. Step 6: Final answer
    x = 246,470,875.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.