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Finding the Third Proportional to 47,291,424 and 101,875,764

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Solution

The third proportional to 47,291,424 and 101,875,764 is: 219,462,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,291,424 : 101,875,764 = 101,875,764 : x
  2. Step 2: Convert to fraction form
    47,291,424/101,875,764 = 101,875,764/x
  3. Step 3: Cross multiply
    47,291,424x = 101,875,764 × 101,875,764
  4. Step 4: Simplify right side
    47,291,424x = 10,378,671,290,583,696
  5. Step 5: Solve for x
    x = 10,378,671,290,583,696/47,291,424
  6. Step 6: Final answer
    x = 219,462,016.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.