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Finding the Third Proportional to 303,989,801.34 and 616,438,474.03

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Solution

The third proportional to 303,989,801.34 and 616,438,474.03 is: 1,250,030,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,989,801.34 : 616,438,474.03 = 616,438,474.03 : x
  2. Step 2: Convert to fraction form
    303,989,801.34/616,438,474.03 = 616,438,474.03/x
  3. Step 3: Cross multiply
    303,989,801.34x = 616,438,474.03 × 616,438,474.03
  4. Step 4: Simplify right side
    303,989,801.34x = 379,996,392,265,976,064
  5. Step 5: Solve for x
    x = 379,996,392,265,976,064/303,989,801.34
  6. Step 6: Final answer
    x = 1,250,030,068.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.