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Finding the Third Proportional to 3,491,849,382 and 7,564,897,164

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Solution

The third proportional to 3,491,849,382 and 7,564,897,164 is: 16,388,928,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491,849,382 : 7,564,897,164 = 7,564,897,164 : x
  2. Step 2: Convert to fraction form
    3,491,849,382/7,564,897,164 = 7,564,897,164/x
  3. Step 3: Cross multiply
    3,491,849,382x = 7,564,897,164 × 7,564,897,164
  4. Step 4: Simplify right side
    3,491,849,382x = 57,227,669,101,895,245,824
  5. Step 5: Solve for x
    x = 57,227,669,101,895,245,824/3,491,849,382
  6. Step 6: Final answer
    x = 16,388,928,284.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.