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Finding the Third Proportional to 432,933,726 and 945,224,340

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Solution

The third proportional to 432,933,726 and 945,224,340 is: 2,063,708,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,933,726 : 945,224,340 = 945,224,340 : x
  2. Step 2: Convert to fraction form
    432,933,726/945,224,340 = 945,224,340/x
  3. Step 3: Cross multiply
    432,933,726x = 945,224,340 × 945,224,340
  4. Step 4: Simplify right side
    432,933,726x = 893,449,052,928,435,584
  5. Step 5: Solve for x
    x = 893,449,052,928,435,584/432,933,726
  6. Step 6: Final answer
    x = 2,063,708,598.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.