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Finding the Third Proportional to 234,301,636 and 487,996,275

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Solution

The third proportional to 234,301,636 and 487,996,275 is: 1,016,383,702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,301,636 : 487,996,275 = 487,996,275 : x
  2. Step 2: Convert to fraction form
    234,301,636/487,996,275 = 487,996,275/x
  3. Step 3: Cross multiply
    234,301,636x = 487,996,275 × 487,996,275
  4. Step 4: Simplify right side
    234,301,636x = 238,140,364,413,875,616
  5. Step 5: Solve for x
    x = 238,140,364,413,875,616/234,301,636
  6. Step 6: Final answer
    x = 1,016,383,702.99

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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.