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Finding the Third Proportional to 333,116,757 and 721,831,590

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Solution

The third proportional to 333,116,757 and 721,831,590 is: 1,564,138,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,116,757 : 721,831,590 = 721,831,590 : x
  2. Step 2: Convert to fraction form
    333,116,757/721,831,590 = 721,831,590/x
  3. Step 3: Cross multiply
    333,116,757x = 721,831,590 × 721,831,590
  4. Step 4: Simplify right side
    333,116,757x = 521,040,844,321,928,128
  5. Step 5: Solve for x
    x = 521,040,844,321,928,128/333,116,757
  6. Step 6: Final answer
    x = 1,564,138,799.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.