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Finding the Third Proportional to 547,516,912 and 1,217,447,180

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Solution

The third proportional to 547,516,912 and 1,217,447,180 is: 2,707,090,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,516,912 : 1,217,447,180 = 1,217,447,180 : x
  2. Step 2: Convert to fraction form
    547,516,912/1,217,447,180 = 1,217,447,180/x
  3. Step 3: Cross multiply
    547,516,912x = 1,217,447,180 × 1,217,447,180
  4. Step 4: Simplify right side
    547,516,912x = 1,482,177,636,089,952,512
  5. Step 5: Solve for x
    x = 1,482,177,636,089,952,512/547,516,912
  6. Step 6: Final answer
    x = 2,707,090,143.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.