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Finding the Third Proportional to 413,729,164.13 and 617,005,972.69

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Solution

The third proportional to 413,729,164.13 and 617,005,972.69 is: 920,158,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,729,164.13 : 617,005,972.69 = 617,005,972.69 : x
  2. Step 2: Convert to fraction form
    413,729,164.13/617,005,972.69 = 617,005,972.69/x
  3. Step 3: Cross multiply
    413,729,164.13x = 617,005,972.69 × 617,005,972.69
  4. Step 4: Simplify right side
    413,729,164.13x = 380,696,370,332,048,000
  5. Step 5: Solve for x
    x = 380,696,370,332,048,000/413,729,164.13
  6. Step 6: Final answer
    x = 920,158,411.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.