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Finding the Third Proportional to 3,224,497.50 and 7,038,423

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Solution

The third proportional to 3,224,497.50 and 7,038,423 is: 15,363,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224,497.50 : 7,038,423 = 7,038,423 : x
  2. Step 2: Convert to fraction form
    3,224,497.50/7,038,423 = 7,038,423/x
  3. Step 3: Cross multiply
    3,224,497.50x = 7,038,423 × 7,038,423
  4. Step 4: Simplify right side
    3,224,497.50x = 49,539,398,326,929
  5. Step 5: Solve for x
    x = 49,539,398,326,929/3,224,497.50
  6. Step 6: Final answer
    x = 15,363,447.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.