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Finding the Third Proportional to 119,915,817,794 and 266,643,100,996

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Solution

The third proportional to 119,915,817,794 and 266,643,100,996 is: 592,903,793,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,915,817,794 : 266,643,100,996 = 266,643,100,996 : x
  2. Step 2: Convert to fraction form
    119,915,817,794/266,643,100,996 = 266,643,100,996/x
  3. Step 3: Cross multiply
    119,915,817,794x = 266,643,100,996 × 266,643,100,996
  4. Step 4: Simplify right side
    119,915,817,794x = 71,098,543,308,763,056,570,368
  5. Step 5: Solve for x
    x = 71,098,543,308,763,056,570,368/119,915,817,794
  6. Step 6: Final answer
    x = 592,903,793,817.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.