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Finding the Third Proportional to 7,129,632 and 14,846,784

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Solution

The third proportional to 7,129,632 and 14,846,784 is: 30,917,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129,632 : 14,846,784 = 14,846,784 : x
  2. Step 2: Convert to fraction form
    7,129,632/14,846,784 = 14,846,784/x
  3. Step 3: Cross multiply
    7,129,632x = 14,846,784 × 14,846,784
  4. Step 4: Simplify right side
    7,129,632x = 220,426,995,142,656
  5. Step 5: Solve for x
    x = 220,426,995,142,656/7,129,632
  6. Step 6: Final answer
    x = 30,917,022.81

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.