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Finding the Third Proportional to 624,061,017 and 1,352,122,146

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Solution

The third proportional to 624,061,017 and 1,352,122,146 is: 2,929,576,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,061,017 : 1,352,122,146 = 1,352,122,146 : x
  2. Step 2: Convert to fraction form
    624,061,017/1,352,122,146 = 1,352,122,146/x
  3. Step 3: Cross multiply
    624,061,017x = 1,352,122,146 × 1,352,122,146
  4. Step 4: Simplify right side
    624,061,017x = 1,828,234,297,703,645,440
  5. Step 5: Solve for x
    x = 1,828,234,297,703,645,440/624,061,017
  6. Step 6: Final answer
    x = 2,929,576,191.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.