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Finding the Third Proportional to 46,765,987.88 and 72,589,127.06

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Solution

The third proportional to 46,765,987.88 and 72,589,127.06 is: 112,671,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,765,987.88 : 72,589,127.06 = 72,589,127.06 : x
  2. Step 2: Convert to fraction form
    46,765,987.88/72,589,127.06 = 72,589,127.06/x
  3. Step 3: Cross multiply
    46,765,987.88x = 72,589,127.06 × 72,589,127.06
  4. Step 4: Simplify right side
    46,765,987.88x = 5,269,181,367,695,770
  5. Step 5: Solve for x
    x = 5,269,181,367,695,770/46,765,987.88
  6. Step 6: Final answer
    x = 112,671,229.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.