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Finding the Third Proportional to 617,241,095 and 940,332,206

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Solution

The third proportional to 617,241,095 and 940,332,206 is: 1,432,543,401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,241,095 : 940,332,206 = 940,332,206 : x
  2. Step 2: Convert to fraction form
    617,241,095/940,332,206 = 940,332,206/x
  3. Step 3: Cross multiply
    617,241,095x = 940,332,206 × 940,332,206
  4. Step 4: Simplify right side
    617,241,095x = 884,224,657,640,826,496
  5. Step 5: Solve for x
    x = 884,224,657,640,826,496/617,241,095
  6. Step 6: Final answer
    x = 1,432,543,401.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.