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Finding the Third Proportional to 113,977,968 and 268,791,711

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Solution

The third proportional to 113,977,968 and 268,791,711 is: 633,885,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,977,968 : 268,791,711 = 268,791,711 : x
  2. Step 2: Convert to fraction form
    113,977,968/268,791,711 = 268,791,711/x
  3. Step 3: Cross multiply
    113,977,968x = 268,791,711 × 268,791,711
  4. Step 4: Simplify right side
    113,977,968x = 72,248,983,902,307,520
  5. Step 5: Solve for x
    x = 72,248,983,902,307,520/113,977,968
  6. Step 6: Final answer
    x = 633,885,523.40

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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.