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Finding the Third Proportional to 30,319,774 and 46,650,718

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Solution

The third proportional to 30,319,774 and 46,650,718 is: 71,777,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319,774 : 46,650,718 = 46,650,718 : x
  2. Step 2: Convert to fraction form
    30,319,774/46,650,718 = 46,650,718/x
  3. Step 3: Cross multiply
    30,319,774x = 46,650,718 × 46,650,718
  4. Step 4: Simplify right side
    30,319,774x = 2,176,289,489,915,524
  5. Step 5: Solve for x
    x = 2,176,289,489,915,524/30,319,774
  6. Step 6: Final answer
    x = 71,777,892.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.