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Finding the Third Proportional to 6,213,720 and 13,291,047

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Solution

The third proportional to 6,213,720 and 13,291,047 is: 28,429,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213,720 : 13,291,047 = 13,291,047 : x
  2. Step 2: Convert to fraction form
    6,213,720/13,291,047 = 13,291,047/x
  3. Step 3: Cross multiply
    6,213,720x = 13,291,047 × 13,291,047
  4. Step 4: Simplify right side
    6,213,720x = 176,651,930,356,209
  5. Step 5: Solve for x
    x = 176,651,930,356,209/6,213,720
  6. Step 6: Final answer
    x = 28,429,335.46

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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.