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Finding the Third Proportional to 6,337,143 and 13,684,464

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Solution

The third proportional to 6,337,143 and 13,684,464 is: 29,550,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337,143 : 13,684,464 = 13,684,464 : x
  2. Step 2: Convert to fraction form
    6,337,143/13,684,464 = 13,684,464/x
  3. Step 3: Cross multiply
    6,337,143x = 13,684,464 × 13,684,464
  4. Step 4: Simplify right side
    6,337,143x = 187,264,554,967,296
  5. Step 5: Solve for x
    x = 187,264,554,967,296/6,337,143
  6. Step 6: Final answer
    x = 29,550,312.34

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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.