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Finding the Third Proportional to 837,934,971 and 1,820,909,595

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Solution

The third proportional to 837,934,971 and 1,820,909,595 is: 3,957,003,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,934,971 : 1,820,909,595 = 1,820,909,595 : x
  2. Step 2: Convert to fraction form
    837,934,971/1,820,909,595 = 1,820,909,595/x
  3. Step 3: Cross multiply
    837,934,971x = 1,820,909,595 × 1,820,909,595
  4. Step 4: Simplify right side
    837,934,971x = 3,315,711,753,163,063,808
  5. Step 5: Solve for x
    x = 3,315,711,753,163,063,808/837,934,971
  6. Step 6: Final answer
    x = 3,957,003,667.25

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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.