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Finding the Third Proportional to 4,382,830,896 and 9,386,252,142

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Solution

The third proportional to 4,382,830,896 and 9,386,252,142 is: 20,101,557,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382,830,896 : 9,386,252,142 = 9,386,252,142 : x
  2. Step 2: Convert to fraction form
    4,382,830,896/9,386,252,142 = 9,386,252,142/x
  3. Step 3: Cross multiply
    4,382,830,896x = 9,386,252,142 × 9,386,252,142
  4. Step 4: Simplify right side
    4,382,830,896x = 88,101,729,273,199,591,424
  5. Step 5: Solve for x
    x = 88,101,729,273,199,591,424/4,382,830,896
  6. Step 6: Final answer
    x = 20,101,557,957.35

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