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Finding the Third Proportional to 20,598,801.75 and 31,163,316.75

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Solution

The third proportional to 20,598,801.75 and 31,163,316.75 is: 47,146,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598,801.75 : 31,163,316.75 = 31,163,316.75 : x
  2. Step 2: Convert to fraction form
    20,598,801.75/31,163,316.75 = 31,163,316.75/x
  3. Step 3: Cross multiply
    20,598,801.75x = 31,163,316.75 × 31,163,316.75
  4. Step 4: Simplify right side
    20,598,801.75x = 971,152,310,860,830.50
  5. Step 5: Solve for x
    x = 971,152,310,860,830.50/20,598,801.75
  6. Step 6: Final answer
    x = 47,146,058.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.