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Finding the Third Proportional to 14,724,146 and 32,369,142

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Solution

The third proportional to 14,724,146 and 32,369,142 is: 71,159,397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,724,146 : 32,369,142 = 32,369,142 : x
  2. Step 2: Convert to fraction form
    14,724,146/32,369,142 = 32,369,142/x
  3. Step 3: Cross multiply
    14,724,146x = 32,369,142 × 32,369,142
  4. Step 4: Simplify right side
    14,724,146x = 1,047,761,353,816,164
  5. Step 5: Solve for x
    x = 1,047,761,353,816,164/14,724,146
  6. Step 6: Final answer
    x = 71,159,397.21

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.