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Finding the Third Proportional to 917,002,602 and 2,014,152,975

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Solution

The third proportional to 917,002,602 and 2,014,152,975 is: 4,423,992,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,002,602 : 2,014,152,975 = 2,014,152,975 : x
  2. Step 2: Convert to fraction form
    917,002,602/2,014,152,975 = 2,014,152,975/x
  3. Step 3: Cross multiply
    917,002,602x = 2,014,152,975 × 2,014,152,975
  4. Step 4: Simplify right side
    917,002,602x = 4,056,812,206,701,350,400
  5. Step 5: Solve for x
    x = 4,056,812,206,701,350,400/917,002,602
  6. Step 6: Final answer
    x = 4,423,992,034.32

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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.