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Finding the Third Proportional to 884,022,257.75 and 1,473,281,636.25

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Solution

The third proportional to 884,022,257.75 and 1,473,281,636.25 is: 2,455,321,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,022,257.75 : 1,473,281,636.25 = 1,473,281,636.25 : x
  2. Step 2: Convert to fraction form
    884,022,257.75/1,473,281,636.25 = 1,473,281,636.25/x
  3. Step 3: Cross multiply
    884,022,257.75x = 1,473,281,636.25 × 1,473,281,636.25
  4. Step 4: Simplify right side
    884,022,257.75x = 2,170,558,779,711,477,248
  5. Step 5: Solve for x
    x = 2,170,558,779,711,477,248/884,022,257.75
  6. Step 6: Final answer
    x = 2,455,321,413.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.