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Finding the Third Proportional to 4,663,888 and 10,199,840

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Solution

The third proportional to 4,663,888 and 10,199,840 is: 22,306,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663,888 : 10,199,840 = 10,199,840 : x
  2. Step 2: Convert to fraction form
    4,663,888/10,199,840 = 10,199,840/x
  3. Step 3: Cross multiply
    4,663,888x = 10,199,840 × 10,199,840
  4. Step 4: Simplify right side
    4,663,888x = 104,036,736,025,600
  5. Step 5: Solve for x
    x = 104,036,736,025,600/4,663,888
  6. Step 6: Final answer
    x = 22,306,868.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.