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Finding the Third Proportional to 4,885,423.88 and 7,185,973.22

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Solution

The third proportional to 4,885,423.88 and 7,185,973.22 is: 10,569,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885,423.88 : 7,185,973.22 = 7,185,973.22 : x
  2. Step 2: Convert to fraction form
    4,885,423.88/7,185,973.22 = 7,185,973.22/x
  3. Step 3: Cross multiply
    4,885,423.88x = 7,185,973.22 × 7,185,973.22
  4. Step 4: Simplify right side
    4,885,423.88x = 51,638,211,100,592.23
  5. Step 5: Solve for x
    x = 51,638,211,100,592.23/4,885,423.88
  6. Step 6: Final answer
    x = 10,569,852.77

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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.