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Finding the Third Proportional to 6,442,636.50 and 13,894,047

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Solution

The third proportional to 6,442,636.50 and 13,894,047 is: 29,963,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442,636.50 : 13,894,047 = 13,894,047 : x
  2. Step 2: Convert to fraction form
    6,442,636.50/13,894,047 = 13,894,047/x
  3. Step 3: Cross multiply
    6,442,636.50x = 13,894,047 × 13,894,047
  4. Step 4: Simplify right side
    6,442,636.50x = 193,044,542,038,209
  5. Step 5: Solve for x
    x = 193,044,542,038,209/6,442,636.50
  6. Step 6: Final answer
    x = 29,963,593.64

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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.