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Finding the Third Proportional to 9,787,466,165 and 14,497,686,069

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Solution

The third proportional to 9,787,466,165 and 14,497,686,069 is: 21,474,700,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787,466,165 : 14,497,686,069 = 14,497,686,069 : x
  2. Step 2: Convert to fraction form
    9,787,466,165/14,497,686,069 = 14,497,686,069/x
  3. Step 3: Cross multiply
    9,787,466,165x = 14,497,686,069 × 14,497,686,069
  4. Step 4: Simplify right side
    9,787,466,165x = 210,182,901,355,276,664,832
  5. Step 5: Solve for x
    x = 210,182,901,355,276,664,832/9,787,466,165
  6. Step 6: Final answer
    x = 21,474,700,173.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.