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Finding the Third Proportional to 2,127,152 and 4,553,311

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Solution

The third proportional to 2,127,152 and 4,553,311 is: 9,746,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,152 : 4,553,311 = 4,553,311 : x
  2. Step 2: Convert to fraction form
    2,127,152/4,553,311 = 4,553,311/x
  3. Step 3: Cross multiply
    2,127,152x = 4,553,311 × 4,553,311
  4. Step 4: Simplify right side
    2,127,152x = 20,732,641,062,721
  5. Step 5: Solve for x
    x = 20,732,641,062,721/2,127,152
  6. Step 6: Final answer
    x = 9,746,666.46

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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.