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Finding the Third Proportional to 42,121,842.75 and 64,715,577.75

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Solution

The third proportional to 42,121,842.75 and 64,715,577.75 is: 99,428,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,121,842.75 : 64,715,577.75 = 64,715,577.75 : x
  2. Step 2: Convert to fraction form
    42,121,842.75/64,715,577.75 = 64,715,577.75/x
  3. Step 3: Cross multiply
    42,121,842.75x = 64,715,577.75 × 64,715,577.75
  4. Step 4: Simplify right side
    42,121,842.75x = 4,188,106,003,516,295
  5. Step 5: Solve for x
    x = 4,188,106,003,516,295/42,121,842.75
  6. Step 6: Final answer
    x = 99,428,366.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.