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Finding the Third Proportional to 7,509,316 and 16,081,514

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Solution

The third proportional to 7,509,316 and 16,081,514 is: 34,439,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509,316 : 16,081,514 = 16,081,514 : x
  2. Step 2: Convert to fraction form
    7,509,316/16,081,514 = 16,081,514/x
  3. Step 3: Cross multiply
    7,509,316x = 16,081,514 × 16,081,514
  4. Step 4: Simplify right side
    7,509,316x = 258,615,092,532,196
  5. Step 5: Solve for x
    x = 258,615,092,532,196/7,509,316
  6. Step 6: Final answer
    x = 34,439,234.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.