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Finding the Third Proportional to 29,974,269,863,601 and 40,442,328,019,670

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Solution

The third proportional to 29,974,269,863,601 and 40,442,328,019,670 is: 54,566,196,377,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974,269,863,601 : 40,442,328,019,670 = 40,442,328,019,670 : x
  2. Step 2: Convert to fraction form
    29,974,269,863,601/40,442,328,019,670 = 40,442,328,019,670/x
  3. Step 3: Cross multiply
    29,974,269,863,601x = 40,442,328,019,670 × 40,442,328,019,670
  4. Step 4: Simplify right side
    29,974,269,863,601x = 1,635,581,895,650,585,068,586,401,792
  5. Step 5: Solve for x
    x = 1,635,581,895,650,585,068,586,401,792/29,974,269,863,601
  6. Step 6: Final answer
    x = 54,566,196,377,538.46

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.