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Finding the Third Proportional to 7,852,428 and 11,731,742

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Solution

The third proportional to 7,852,428 and 11,731,742 is: 17,527,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852,428 : 11,731,742 = 11,731,742 : x
  2. Step 2: Convert to fraction form
    7,852,428/11,731,742 = 11,731,742/x
  3. Step 3: Cross multiply
    7,852,428x = 11,731,742 × 11,731,742
  4. Step 4: Simplify right side
    7,852,428x = 137,633,770,354,564
  5. Step 5: Solve for x
    x = 137,633,770,354,564/7,852,428
  6. Step 6: Final answer
    x = 17,527,543.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.