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Finding the Third Proportional to 217,680,302 and 473,622,652

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Solution

The third proportional to 217,680,302 and 473,622,652 is: 1,030,494,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,680,302 : 473,622,652 = 473,622,652 : x
  2. Step 2: Convert to fraction form
    217,680,302/473,622,652 = 473,622,652/x
  3. Step 3: Cross multiply
    217,680,302x = 473,622,652 × 473,622,652
  4. Step 4: Simplify right side
    217,680,302x = 224,318,416,487,513,088
  5. Step 5: Solve for x
    x = 224,318,416,487,513,088/217,680,302
  6. Step 6: Final answer
    x = 1,030,494,787.20

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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.