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Finding the Third Proportional to 2,972,934 and 6,513,840

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Solution

The third proportional to 2,972,934 and 6,513,840 is: 14,272,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972,934 : 6,513,840 = 6,513,840 : x
  2. Step 2: Convert to fraction form
    2,972,934/6,513,840 = 6,513,840/x
  3. Step 3: Cross multiply
    2,972,934x = 6,513,840 × 6,513,840
  4. Step 4: Simplify right side
    2,972,934x = 42,430,111,545,600
  5. Step 5: Solve for x
    x = 42,430,111,545,600/2,972,934
  6. Step 6: Final answer
    x = 14,272,133.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.