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Finding the Third Proportional to 301,929,466 and 660,388,509

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Solution

The third proportional to 301,929,466 and 660,388,509 is: 1,444,420,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,929,466 : 660,388,509 = 660,388,509 : x
  2. Step 2: Convert to fraction form
    301,929,466/660,388,509 = 660,388,509/x
  3. Step 3: Cross multiply
    301,929,466x = 660,388,509 × 660,388,509
  4. Step 4: Simplify right side
    301,929,466x = 436,112,982,819,243,072
  5. Step 5: Solve for x
    x = 436,112,982,819,243,072/301,929,466
  6. Step 6: Final answer
    x = 1,444,420,077.96

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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.