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Finding the Third Proportional to 9,787,466,167 and 14,497,686,072

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Solution

The third proportional to 9,787,466,167 and 14,497,686,072 is: 21,474,700,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787,466,167 : 14,497,686,072 = 14,497,686,072 : x
  2. Step 2: Convert to fraction form
    9,787,466,167/14,497,686,072 = 14,497,686,072/x
  3. Step 3: Cross multiply
    9,787,466,167x = 14,497,686,072 × 14,497,686,072
  4. Step 4: Simplify right side
    9,787,466,167x = 210,182,901,442,262,794,240
  5. Step 5: Solve for x
    x = 210,182,901,442,262,794,240/9,787,466,167
  6. Step 6: Final answer
    x = 21,474,700,178.37

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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.