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Finding the Third Proportional to 7,547,341 and 16,289,695

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Solution

The third proportional to 7,547,341 and 16,289,695 is: 35,158,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547,341 : 16,289,695 = 16,289,695 : x
  2. Step 2: Convert to fraction form
    7,547,341/16,289,695 = 16,289,695/x
  3. Step 3: Cross multiply
    7,547,341x = 16,289,695 × 16,289,695
  4. Step 4: Simplify right side
    7,547,341x = 265,354,163,193,025
  5. Step 5: Solve for x
    x = 265,354,163,193,025/7,547,341
  6. Step 6: Final answer
    x = 35,158,629.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.