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Finding the Third Proportional to 14,577,043.50 and 33,746,769

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Solution

The third proportional to 14,577,043.50 and 33,746,769 is: 78,125,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577,043.50 : 33,746,769 = 33,746,769 : x
  2. Step 2: Convert to fraction form
    14,577,043.50/33,746,769 = 33,746,769/x
  3. Step 3: Cross multiply
    14,577,043.50x = 33,746,769 × 33,746,769
  4. Step 4: Simplify right side
    14,577,043.50x = 1,138,844,417,939,361
  5. Step 5: Solve for x
    x = 1,138,844,417,939,361/14,577,043.50
  6. Step 6: Final answer
    x = 78,125,884.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.