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Finding the Third Proportional to 3,905,595,516 and 5,894,713,134

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Solution

The third proportional to 3,905,595,516 and 5,894,713,134 is: 8,896,887,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905,595,516 : 5,894,713,134 = 5,894,713,134 : x
  2. Step 2: Convert to fraction form
    3,905,595,516/5,894,713,134 = 5,894,713,134/x
  3. Step 3: Cross multiply
    3,905,595,516x = 5,894,713,134 × 5,894,713,134
  4. Step 4: Simplify right side
    3,905,595,516x = 34,747,642,932,152,102,912
  5. Step 5: Solve for x
    x = 34,747,642,932,152,102,912/3,905,595,516
  6. Step 6: Final answer
    x = 8,896,887,245.44

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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.