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Finding the Third Proportional to 6,349,477.50 and 13,963,101.75

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Solution

The third proportional to 6,349,477.50 and 13,963,101.75 is: 30,706,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349,477.50 : 13,963,101.75 = 13,963,101.75 : x
  2. Step 2: Convert to fraction form
    6,349,477.50/13,963,101.75 = 13,963,101.75/x
  3. Step 3: Cross multiply
    6,349,477.50x = 13,963,101.75 × 13,963,101.75
  4. Step 4: Simplify right side
    6,349,477.50x = 194,968,210,480,853.06
  5. Step 5: Solve for x
    x = 194,968,210,480,853.06/6,349,477.50
  6. Step 6: Final answer
    x = 30,706,181.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.