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Finding the Third Proportional to 5,742,113.06 and 12,527,397.56

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Solution

The third proportional to 5,742,113.06 and 12,527,397.56 is: 27,330,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,113.06 : 12,527,397.56 = 12,527,397.56 : x
  2. Step 2: Convert to fraction form
    5,742,113.06/12,527,397.56 = 12,527,397.56/x
  3. Step 3: Cross multiply
    5,742,113.06x = 12,527,397.56 × 12,527,397.56
  4. Step 4: Simplify right side
    5,742,113.06x = 156,935,689,688,930.94
  5. Step 5: Solve for x
    x = 156,935,689,688,930.94/5,742,113.06
  6. Step 6: Final answer
    x = 27,330,651.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.