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Finding the Third Proportional to 829,071,792 and 1,772,934,832

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Solution

The third proportional to 829,071,792 and 1,772,934,832 is: 3,791,345,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,071,792 : 1,772,934,832 = 1,772,934,832 : x
  2. Step 2: Convert to fraction form
    829,071,792/1,772,934,832 = 1,772,934,832/x
  3. Step 3: Cross multiply
    829,071,792x = 1,772,934,832 × 1,772,934,832
  4. Step 4: Simplify right side
    829,071,792x = 3,143,297,918,518,867,968
  5. Step 5: Solve for x
    x = 3,143,297,918,518,867,968/829,071,792
  6. Step 6: Final answer
    x = 3,791,345,874.81

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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.