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Finding the Third Proportional to 4,287,522,188 and 9,287,333,503

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Solution

The third proportional to 4,287,522,188 and 9,287,333,503 is: 20,117,578,362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287,522,188 : 9,287,333,503 = 9,287,333,503 : x
  2. Step 2: Convert to fraction form
    4,287,522,188/9,287,333,503 = 9,287,333,503/x
  3. Step 3: Cross multiply
    4,287,522,188x = 9,287,333,503 × 9,287,333,503
  4. Step 4: Simplify right side
    4,287,522,188x = 86,254,563,595,946,246,144
  5. Step 5: Solve for x
    x = 86,254,563,595,946,246,144/4,287,522,188
  6. Step 6: Final answer
    x = 20,117,578,362.01

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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.