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Finding the Third Proportional to 4,215,577.50 and 6,702,932.25

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Solution

The third proportional to 4,215,577.50 and 6,702,932.25 is: 10,657,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215,577.50 : 6,702,932.25 = 6,702,932.25 : x
  2. Step 2: Convert to fraction form
    4,215,577.50/6,702,932.25 = 6,702,932.25/x
  3. Step 3: Cross multiply
    4,215,577.50x = 6,702,932.25 × 6,702,932.25
  4. Step 4: Simplify right side
    4,215,577.50x = 44,929,300,748,090.06
  5. Step 5: Solve for x
    x = 44,929,300,748,090.06/4,215,577.50
  6. Step 6: Final answer
    x = 10,657,923.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.