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Finding the Third Proportional to 15,078,321.84 and 32,921,798.06

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Solution

The third proportional to 15,078,321.84 and 32,921,798.06 is: 71,880,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078,321.84 : 32,921,798.06 = 32,921,798.06 : x
  2. Step 2: Convert to fraction form
    15,078,321.84/32,921,798.06 = 32,921,798.06/x
  3. Step 3: Cross multiply
    15,078,321.84x = 32,921,798.06 × 32,921,798.06
  4. Step 4: Simplify right side
    15,078,321.84x = 1,083,844,787,668,028.75
  5. Step 5: Solve for x
    x = 1,083,844,787,668,028.75/15,078,321.84
  6. Step 6: Final answer
    x = 71,880,995.70

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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.