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Finding the Third Proportional to 681,460,728 and 1,482,320,376

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Solution

The third proportional to 681,460,728 and 1,482,320,376 is: 3,224,358,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,460,728 : 1,482,320,376 = 1,482,320,376 : x
  2. Step 2: Convert to fraction form
    681,460,728/1,482,320,376 = 1,482,320,376/x
  3. Step 3: Cross multiply
    681,460,728x = 1,482,320,376 × 1,482,320,376
  4. Step 4: Simplify right side
    681,460,728x = 2,197,273,697,104,781,312
  5. Step 5: Solve for x
    x = 2,197,273,697,104,781,312/681,460,728
  6. Step 6: Final answer
    x = 3,224,358,509.34

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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.