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Finding the Third Proportional to 2,929,749 and 6,426,772.50

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Solution

The third proportional to 2,929,749 and 6,426,772.50 is: 14,097,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929,749 : 6,426,772.50 = 6,426,772.50 : x
  2. Step 2: Convert to fraction form
    2,929,749/6,426,772.50 = 6,426,772.50/x
  3. Step 3: Cross multiply
    2,929,749x = 6,426,772.50 × 6,426,772.50
  4. Step 4: Simplify right side
    2,929,749x = 41,303,404,766,756.25
  5. Step 5: Solve for x
    x = 41,303,404,766,756.25/2,929,749
  6. Step 6: Final answer
    x = 14,097,932.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.