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Finding the Third Proportional to 287,653,692 and 633,940,368

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Solution

The third proportional to 287,653,692 and 633,940,368 is: 1,397,097,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,653,692 : 633,940,368 = 633,940,368 : x
  2. Step 2: Convert to fraction form
    287,653,692/633,940,368 = 633,940,368/x
  3. Step 3: Cross multiply
    287,653,692x = 633,940,368 × 633,940,368
  4. Step 4: Simplify right side
    287,653,692x = 401,880,390,179,975,424
  5. Step 5: Solve for x
    x = 401,880,390,179,975,424/287,653,692
  6. Step 6: Final answer
    x = 1,397,097,973.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.