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Finding the Third Proportional to 10,649,117 and 15,228,362

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Solution

The third proportional to 10,649,117 and 15,228,362 is: 21,776,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649,117 : 15,228,362 = 15,228,362 : x
  2. Step 2: Convert to fraction form
    10,649,117/15,228,362 = 15,228,362/x
  3. Step 3: Cross multiply
    10,649,117x = 15,228,362 × 15,228,362
  4. Step 4: Simplify right side
    10,649,117x = 231,903,009,203,044
  5. Step 5: Solve for x
    x = 231,903,009,203,044/10,649,117
  6. Step 6: Final answer
    x = 21,776,735.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.