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Finding the Third Proportional to 6,747,473.79 and 14,570,114.36

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Solution

The third proportional to 6,747,473.79 and 14,570,114.36 is: 31,461,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747,473.79 : 14,570,114.36 = 14,570,114.36 : x
  2. Step 2: Convert to fraction form
    6,747,473.79/14,570,114.36 = 14,570,114.36/x
  3. Step 3: Cross multiply
    6,747,473.79x = 14,570,114.36 × 14,570,114.36
  4. Step 4: Simplify right side
    6,747,473.79x = 212,288,232,502,176.44
  5. Step 5: Solve for x
    x = 212,288,232,502,176.44/6,747,473.79
  6. Step 6: Final answer
    x = 31,461,883.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.