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Finding the Third Proportional to 3,343,026,413.94 and 7,286,730,885.13

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Solution

The third proportional to 3,343,026,413.94 and 7,286,730,885.13 is: 15,882,748,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343,026,413.94 : 7,286,730,885.13 = 7,286,730,885.13 : x
  2. Step 2: Convert to fraction form
    3,343,026,413.94/7,286,730,885.13 = 7,286,730,885.13/x
  3. Step 3: Cross multiply
    3,343,026,413.94x = 7,286,730,885.13 × 7,286,730,885.13
  4. Step 4: Simplify right side
    3,343,026,413.94x = 53,096,446,992,234,569,728
  5. Step 5: Solve for x
    x = 53,096,446,992,234,569,728/3,343,026,413.94
  6. Step 6: Final answer
    x = 15,882,748,269.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.