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Finding the Third Proportional to 47,775,030 and 101,807,790

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Solution

The third proportional to 47,775,030 and 101,807,790 is: 216,950,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,775,030 : 101,807,790 = 101,807,790 : x
  2. Step 2: Convert to fraction form
    47,775,030/101,807,790 = 101,807,790/x
  3. Step 3: Cross multiply
    47,775,030x = 101,807,790 × 101,807,790
  4. Step 4: Simplify right side
    47,775,030x = 10,364,826,104,684,100
  5. Step 5: Solve for x
    x = 10,364,826,104,684,100/47,775,030
  6. Step 6: Final answer
    x = 216,950,697.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.