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Finding the Third Proportional to 815,624,672 and 1,761,211,642

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Solution

The third proportional to 815,624,672 and 1,761,211,642 is: 3,803,056,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,624,672 : 1,761,211,642 = 1,761,211,642 : x
  2. Step 2: Convert to fraction form
    815,624,672/1,761,211,642 = 1,761,211,642/x
  3. Step 3: Cross multiply
    815,624,672x = 1,761,211,642 × 1,761,211,642
  4. Step 4: Simplify right side
    815,624,672x = 3,101,866,447,916,336,128
  5. Step 5: Solve for x
    x = 3,101,866,447,916,336,128/815,624,672
  6. Step 6: Final answer
    x = 3,803,056,178.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.