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Finding the Third Proportional to 46,596,230 and 72,936,462

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Solution

The third proportional to 46,596,230 and 72,936,462 is: 114,166,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,596,230 : 72,936,462 = 72,936,462 : x
  2. Step 2: Convert to fraction form
    46,596,230/72,936,462 = 72,936,462/x
  3. Step 3: Cross multiply
    46,596,230x = 72,936,462 × 72,936,462
  4. Step 4: Simplify right side
    46,596,230x = 5,319,727,489,077,444
  5. Step 5: Solve for x
    x = 5,319,727,489,077,444/46,596,230
  6. Step 6: Final answer
    x = 114,166,478.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.