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Finding the Third Proportional to 30,985,983 and 47,812,101.75

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Solution

The third proportional to 30,985,983 and 47,812,101.75 is: 73,775,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985,983 : 47,812,101.75 = 47,812,101.75 : x
  2. Step 2: Convert to fraction form
    30,985,983/47,812,101.75 = 47,812,101.75/x
  3. Step 3: Cross multiply
    30,985,983x = 47,812,101.75 × 47,812,101.75
  4. Step 4: Simplify right side
    30,985,983x = 2,285,997,073,752,353
  5. Step 5: Solve for x
    x = 2,285,997,073,752,353/30,985,983
  6. Step 6: Final answer
    x = 73,775,199.38

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