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Finding the Third Proportional to 20,282,778 and 47,831,608.50

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Solution

The third proportional to 20,282,778 and 47,831,608.50 is: 112,798,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282,778 : 47,831,608.50 = 47,831,608.50 : x
  2. Step 2: Convert to fraction form
    20,282,778/47,831,608.50 = 47,831,608.50/x
  3. Step 3: Cross multiply
    20,282,778x = 47,831,608.50 × 47,831,608.50
  4. Step 4: Simplify right side
    20,282,778x = 2,287,862,771,697,272
  5. Step 5: Solve for x
    x = 2,287,862,771,697,272/20,282,778
  6. Step 6: Final answer
    x = 112,798,294.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.