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Finding the Third Proportional to 10,509,547 and 22,639,742

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Solution

The third proportional to 10,509,547 and 22,639,742 is: 48,770,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509,547 : 22,639,742 = 22,639,742 : x
  2. Step 2: Convert to fraction form
    10,509,547/22,639,742 = 22,639,742/x
  3. Step 3: Cross multiply
    10,509,547x = 22,639,742 × 22,639,742
  4. Step 4: Simplify right side
    10,509,547x = 512,557,917,826,564
  5. Step 5: Solve for x
    x = 512,557,917,826,564/10,509,547
  6. Step 6: Final answer
    x = 48,770,695.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.