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Finding the Third Proportional to 1,015,233,711 and 1,369,788,645

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Solution

The third proportional to 1,015,233,711 and 1,369,788,645 is: 1,848,166,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,233,711 : 1,369,788,645 = 1,369,788,645 : x
  2. Step 2: Convert to fraction form
    1,015,233,711/1,369,788,645 = 1,369,788,645/x
  3. Step 3: Cross multiply
    1,015,233,711x = 1,369,788,645 × 1,369,788,645
  4. Step 4: Simplify right side
    1,015,233,711x = 1,876,320,931,970,936,064
  5. Step 5: Solve for x
    x = 1,876,320,931,970,936,064/1,015,233,711
  6. Step 6: Final answer
    x = 1,848,166,497.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.