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Finding the Third Proportional to 14,724,148 and 32,369,146

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Solution

The third proportional to 14,724,148 and 32,369,146 is: 71,159,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,724,148 : 32,369,146 = 32,369,146 : x
  2. Step 2: Convert to fraction form
    14,724,148/32,369,146 = 32,369,146/x
  3. Step 3: Cross multiply
    14,724,148x = 32,369,146 × 32,369,146
  4. Step 4: Simplify right side
    14,724,148x = 1,047,761,612,769,316
  5. Step 5: Solve for x
    x = 1,047,761,612,769,316/14,724,148
  6. Step 6: Final answer
    x = 71,159,405.13

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Why These Related Problems?

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