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Finding the Third Proportional to 40,429,498.50 and 66,010,736.25

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Solution

The third proportional to 40,429,498.50 and 66,010,736.25 is: 107,778,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,429,498.50 : 66,010,736.25 = 66,010,736.25 : x
  2. Step 2: Convert to fraction form
    40,429,498.50/66,010,736.25 = 66,010,736.25/x
  3. Step 3: Cross multiply
    40,429,498.50x = 66,010,736.25 × 66,010,736.25
  4. Step 4: Simplify right side
    40,429,498.50x = 4,357,417,300,267,064
  5. Step 5: Solve for x
    x = 4,357,417,300,267,064/40,429,498.50
  6. Step 6: Final answer
    x = 107,778,168.46

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.