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Finding the Third Proportional to 72,487,030,006 and 147,040,937,856

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Solution

The third proportional to 72,487,030,006 and 147,040,937,856 is: 298,274,565,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,487,030,006 : 147,040,937,856 = 147,040,937,856 : x
  2. Step 2: Convert to fraction form
    72,487,030,006/147,040,937,856 = 147,040,937,856/x
  3. Step 3: Cross multiply
    72,487,030,006x = 147,040,937,856 × 147,040,937,856
  4. Step 4: Simplify right side
    72,487,030,006x = 21,621,037,405,572,052,287,488
  5. Step 5: Solve for x
    x = 21,621,037,405,572,052,287,488/72,487,030,006
  6. Step 6: Final answer
    x = 298,274,565,860.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.