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Finding the Third Proportional to 376,782,033 and 508,905,909

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Solution

The third proportional to 376,782,033 and 508,905,909 is: 687,360,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,782,033 : 508,905,909 = 508,905,909 : x
  2. Step 2: Convert to fraction form
    376,782,033/508,905,909 = 508,905,909/x
  3. Step 3: Cross multiply
    376,782,033x = 508,905,909 × 508,905,909
  4. Step 4: Simplify right side
    376,782,033x = 258,985,224,215,116,288
  5. Step 5: Solve for x
    x = 258,985,224,215,116,288/376,782,033
  6. Step 6: Final answer
    x = 687,360,865.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.