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Finding the Third Proportional to 530,672,982 and 1,148,269,980

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Solution

The third proportional to 530,672,982 and 1,148,269,980 is: 2,484,626,110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,672,982 : 1,148,269,980 = 1,148,269,980 : x
  2. Step 2: Convert to fraction form
    530,672,982/1,148,269,980 = 1,148,269,980/x
  3. Step 3: Cross multiply
    530,672,982x = 1,148,269,980 × 1,148,269,980
  4. Step 4: Simplify right side
    530,672,982x = 1,318,523,946,969,200,384
  5. Step 5: Solve for x
    x = 1,318,523,946,969,200,384/530,672,982
  6. Step 6: Final answer
    x = 2,484,626,110.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.