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Finding the Third Proportional to 3,414,684,729 and 7,614,516,126

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Solution

The third proportional to 3,414,684,729 and 7,614,516,126 is: 16,979,856,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,684,729 : 7,614,516,126 = 7,614,516,126 : x
  2. Step 2: Convert to fraction form
    3,414,684,729/7,614,516,126 = 7,614,516,126/x
  3. Step 3: Cross multiply
    3,414,684,729x = 7,614,516,126 × 7,614,516,126
  4. Step 4: Simplify right side
    3,414,684,729x = 57,980,855,833,114,050,560
  5. Step 5: Solve for x
    x = 57,980,855,833,114,050,560/3,414,684,729
  6. Step 6: Final answer
    x = 16,979,856,248.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.