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Finding the Third Proportional to 30,319,784 and 46,650,728

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Solution

The third proportional to 30,319,784 and 46,650,728 is: 71,777,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319,784 : 46,650,728 = 46,650,728 : x
  2. Step 2: Convert to fraction form
    30,319,784/46,650,728 = 46,650,728/x
  3. Step 3: Cross multiply
    30,319,784x = 46,650,728 × 46,650,728
  4. Step 4: Simplify right side
    30,319,784x = 2,176,290,422,929,984
  5. Step 5: Solve for x
    x = 2,176,290,422,929,984/30,319,784
  6. Step 6: Final answer
    x = 71,777,899.97

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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.