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Finding the Third Proportional to 2,949,432.75 and 6,308,700.19

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Solution

The third proportional to 2,949,432.75 and 6,308,700.19 is: 13,494,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949,432.75 : 6,308,700.19 = 6,308,700.19 : x
  2. Step 2: Convert to fraction form
    2,949,432.75/6,308,700.19 = 6,308,700.19/x
  3. Step 3: Cross multiply
    2,949,432.75x = 6,308,700.19 × 6,308,700.19
  4. Step 4: Simplify right side
    2,949,432.75x = 39,799,698,055,762.53
  5. Step 5: Solve for x
    x = 39,799,698,055,762.53/2,949,432.75
  6. Step 6: Final answer
    x = 13,494,017.81

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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.