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Finding the Third Proportional to 15,500,840.91 and 22,802,823.84

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Solution

The third proportional to 15,500,840.91 and 22,802,823.84 is: 33,544,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,500,840.91 : 22,802,823.84 = 22,802,823.84 : x
  2. Step 2: Convert to fraction form
    15,500,840.91/22,802,823.84 = 22,802,823.84/x
  3. Step 3: Cross multiply
    15,500,840.91x = 22,802,823.84 × 22,802,823.84
  4. Step 4: Simplify right side
    15,500,840.91x = 519,968,775,249,093.50
  5. Step 5: Solve for x
    x = 519,968,775,249,093.50/15,500,840.91
  6. Step 6: Final answer
    x = 33,544,552.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.