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Finding the Third Proportional to 742,561,250 and 1,573,640,236

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Solution

The third proportional to 742,561,250 and 1,573,640,236 is: 3,334,867,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,561,250 : 1,573,640,236 = 1,573,640,236 : x
  2. Step 2: Convert to fraction form
    742,561,250/1,573,640,236 = 1,573,640,236/x
  3. Step 3: Cross multiply
    742,561,250x = 1,573,640,236 × 1,573,640,236
  4. Step 4: Simplify right side
    742,561,250x = 2,476,343,592,358,135,808
  5. Step 5: Solve for x
    x = 2,476,343,592,358,135,808/742,561,250
  6. Step 6: Final answer
    x = 3,334,867,786.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.