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Finding the Third Proportional to 46,782,054 and 72,000,009

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Solution

The third proportional to 46,782,054 and 72,000,009 is: 110,811,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,782,054 : 72,000,009 = 72,000,009 : x
  2. Step 2: Convert to fraction form
    46,782,054/72,000,009 = 72,000,009/x
  3. Step 3: Cross multiply
    46,782,054x = 72,000,009 × 72,000,009
  4. Step 4: Simplify right side
    46,782,054x = 5,184,001,296,000,081
  5. Step 5: Solve for x
    x = 5,184,001,296,000,081/46,782,054
  6. Step 6: Final answer
    x = 110,811,750.51

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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.