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Finding the Third Proportional to 3,085,369,733 and 4,700,242,001

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Solution

The third proportional to 3,085,369,733 and 4,700,242,001 is: 7,160,333,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085,369,733 : 4,700,242,001 = 4,700,242,001 : x
  2. Step 2: Convert to fraction form
    3,085,369,733/4,700,242,001 = 4,700,242,001/x
  3. Step 3: Cross multiply
    3,085,369,733x = 4,700,242,001 × 4,700,242,001
  4. Step 4: Simplify right side
    3,085,369,733x = 22,092,274,867,964,485,632
  5. Step 5: Solve for x
    x = 22,092,274,867,964,485,632/3,085,369,733
  6. Step 6: Final answer
    x = 7,160,333,049.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.