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Finding the Third Proportional to 74,462,569 and 162,332,590

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Solution

The third proportional to 74,462,569 and 162,332,590 is: 353,894,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,462,569 : 162,332,590 = 162,332,590 : x
  2. Step 2: Convert to fraction form
    74,462,569/162,332,590 = 162,332,590/x
  3. Step 3: Cross multiply
    74,462,569x = 162,332,590 × 162,332,590
  4. Step 4: Simplify right side
    74,462,569x = 26,351,869,776,108,100
  5. Step 5: Solve for x
    x = 26,351,869,776,108,100/74,462,569
  6. Step 6: Final answer
    x = 353,894,179.72

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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.