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Finding the Third Proportional to 3,046,774.50 and 6,513,453

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Solution

The third proportional to 3,046,774.50 and 6,513,453 is: 13,924,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046,774.50 : 6,513,453 = 6,513,453 : x
  2. Step 2: Convert to fraction form
    3,046,774.50/6,513,453 = 6,513,453/x
  3. Step 3: Cross multiply
    3,046,774.50x = 6,513,453 × 6,513,453
  4. Step 4: Simplify right side
    3,046,774.50x = 42,425,069,983,209
  5. Step 5: Solve for x
    x = 42,425,069,983,209/3,046,774.50
  6. Step 6: Final answer
    x = 13,924,584.83

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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.