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Finding the Third Proportional to 2,927,972 and 6,344,678

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Solution

The third proportional to 2,927,972 and 6,344,678 is: 13,748,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927,972 : 6,344,678 = 6,344,678 : x
  2. Step 2: Convert to fraction form
    2,927,972/6,344,678 = 6,344,678/x
  3. Step 3: Cross multiply
    2,927,972x = 6,344,678 × 6,344,678
  4. Step 4: Simplify right side
    2,927,972x = 40,254,938,923,684
  5. Step 5: Solve for x
    x = 40,254,938,923,684/2,927,972
  6. Step 6: Final answer
    x = 13,748,402.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.