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Finding the Third Proportional to 52,636,725 and 117,376,035

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Solution

The third proportional to 52,636,725 and 117,376,035 is: 261,739,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,636,725 : 117,376,035 = 117,376,035 : x
  2. Step 2: Convert to fraction form
    52,636,725/117,376,035 = 117,376,035/x
  3. Step 3: Cross multiply
    52,636,725x = 117,376,035 × 117,376,035
  4. Step 4: Simplify right side
    52,636,725x = 13,777,133,592,321,224
  5. Step 5: Solve for x
    x = 13,777,133,592,321,224/52,636,725
  6. Step 6: Final answer
    x = 261,739,946.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.