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Finding the Third Proportional to 4,382,830,892 and 9,386,252,128

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Solution

The third proportional to 4,382,830,892 and 9,386,252,128 is: 20,101,557,915.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382,830,892 : 9,386,252,128 = 9,386,252,128 : x
  2. Step 2: Convert to fraction form
    4,382,830,892/9,386,252,128 = 9,386,252,128/x
  3. Step 3: Cross multiply
    4,382,830,892x = 9,386,252,128 × 9,386,252,128
  4. Step 4: Simplify right side
    4,382,830,892x = 88,101,729,010,384,535,552
  5. Step 5: Solve for x
    x = 88,101,729,010,384,535,552/4,382,830,892
  6. Step 6: Final answer
    x = 20,101,557,915.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.