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Finding the Third Proportional to 234,301,815 and 487,996,623

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Solution

The third proportional to 234,301,815 and 487,996,623 is: 1,016,384,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,301,815 : 487,996,623 = 487,996,623 : x
  2. Step 2: Convert to fraction form
    234,301,815/487,996,623 = 487,996,623/x
  3. Step 3: Cross multiply
    234,301,815x = 487,996,623 × 487,996,623
  4. Step 4: Simplify right side
    234,301,815x = 238,140,704,059,404,128
  5. Step 5: Solve for x
    x = 238,140,704,059,404,128/234,301,815
  6. Step 6: Final answer
    x = 1,016,384,376.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.