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Finding the Third Proportional to 14,576,962.38 and 33,746,561.88

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Solution

The third proportional to 14,576,962.38 and 33,746,561.88 is: 78,125,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576,962.38 : 33,746,561.88 = 33,746,561.88 : x
  2. Step 2: Convert to fraction form
    14,576,962.38/33,746,561.88 = 33,746,561.88/x
  3. Step 3: Cross multiply
    14,576,962.38x = 33,746,561.88 × 33,746,561.88
  4. Step 4: Simplify right side
    14,576,962.38x = 1,138,830,438,383,203.50
  5. Step 5: Solve for x
    x = 1,138,830,438,383,203.50/14,576,962.38
  6. Step 6: Final answer
    x = 78,125,360.35

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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.