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Finding the Third Proportional to 396,145,075,241 and 870,113,988,403

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Solution

The third proportional to 396,145,075,241 and 870,113,988,403 is: 1,911,164,369,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,145,075,241 : 870,113,988,403 = 870,113,988,403 : x
  2. Step 2: Convert to fraction form
    396,145,075,241/870,113,988,403 = 870,113,988,403/x
  3. Step 3: Cross multiply
    396,145,075,241x = 870,113,988,403 × 870,113,988,403
  4. Step 4: Simplify right side
    396,145,075,241x = 757,098,352,814,576,042,508,288
  5. Step 5: Solve for x
    x = 757,098,352,814,576,042,508,288/396,145,075,241
  6. Step 6: Final answer
    x = 1,911,164,369,149.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.