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Finding the Third Proportional to 47,075,346 and 101,582,109

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Solution

The third proportional to 47,075,346 and 101,582,109 is: 219,200,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,075,346 : 101,582,109 = 101,582,109 : x
  2. Step 2: Convert to fraction form
    47,075,346/101,582,109 = 101,582,109/x
  3. Step 3: Cross multiply
    47,075,346x = 101,582,109 × 101,582,109
  4. Step 4: Simplify right side
    47,075,346x = 10,318,924,868,887,880
  5. Step 5: Solve for x
    x = 10,318,924,868,887,880/47,075,346
  6. Step 6: Final answer
    x = 219,200,191.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.