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Finding the Third Proportional to 360,748,128 and 790,443,168

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Solution

The third proportional to 360,748,128 and 790,443,168 is: 1,731,957,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,748,128 : 790,443,168 = 790,443,168 : x
  2. Step 2: Convert to fraction form
    360,748,128/790,443,168 = 790,443,168/x
  3. Step 3: Cross multiply
    360,748,128x = 790,443,168 × 790,443,168
  4. Step 4: Simplify right side
    360,748,128x = 624,800,401,837,876,224
  5. Step 5: Solve for x
    x = 624,800,401,837,876,224/360,748,128
  6. Step 6: Final answer
    x = 1,731,957,433.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.