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Finding the Third Proportional to 59,902,720 and 85,602,536

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Solution

The third proportional to 59,902,720 and 85,602,536 is: 122,328,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,902,720 : 85,602,536 = 85,602,536 : x
  2. Step 2: Convert to fraction form
    59,902,720/85,602,536 = 85,602,536/x
  3. Step 3: Cross multiply
    59,902,720x = 85,602,536 × 85,602,536
  4. Step 4: Simplify right side
    59,902,720x = 7,327,794,169,631,296
  5. Step 5: Solve for x
    x = 7,327,794,169,631,296/59,902,720
  6. Step 6: Final answer
    x = 122,328,237.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.